NUML

National University of Modern Languages


Call us today 0800 123 4567

Faculty Profile

Dr Naila Rafiq

 

  nrafique@numl.edu.pk

  +92 51 9265100, +923085203316

Ph.D (Numerical Analysis) 

Centre for Advanced Studies  in Pure and Applied Mathematics, B. Z. University, Multan, Pakistan.

M.Phil(Pure Mathematics)

Centre for Advanced Studies in Pure and Applied Mathematics, B. Z. University, Multan, Pakistan.

M.Sc(Pure Mathematics with Distinction)

Centre for Advanced Studies in Pure and Applied Mathematics, B. Z. University, Multan, Pakistan.

Distinctions: 

Indigenous fellowship award for PhD from Higher Education Commission

Secured 4th Position in (MSc Mathematics 2000-2002) B.Z.University, Multan.

Assistant Professor

Faculty of Engineering and

Computer Sciences, National University of Modern Languages,

Islamabad. 

 

 06 Feb, 2018 to Till Date

Assistant Professor

Mathematics

Department of Mathematics,

Preston University Kohat,

ISLAMABAD Campus.

 

  June, 2016 to  Jan, 2018

Assistant Professor

Mathematics (IPFP)

Department of Mathematics

International Islamic University,

ISLAMABAD, Pakistan.

 March, 2015 to May, 2016

Visiting lecturer of

Mathematics

Department of Mathematics

International Islamic University,

ISLAMABAD, Pakistan.

  Sep, 2010 to March, 2015

Visiting lecturer of

Mathematics

Bahauddin Zakariya University,

MULTAN, Pakistan.

  June, 2003 to June, 2004

INTERNATIONAL JOURNALS/HEC-RECOGNISED ABSTRACTED JOURNALS

 

  1. 1. Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq, S. Akram , M.Rizwan, Derivative free    iterative simultaneous method for finding distinct roots of polynomial equation, Alexandria Engineering Journal, June, 2020, Vol. 59, 1629-1636. I.F. 3.696
  2. 2. Mudassir Shams,  Nazir Ahmad Mir, Naila Rafiq, A. Othman Almatroud, and Saima Akram, On Dynamics of Iterative Techniques for Nonlinear  Equation with Applications in Engineering, Mathematical Problems in Engineering, Volume 2020, Article ID 5853296, 17 pages, IF: 1.179.
  3. 3. Saima Akram, Mudassir Shams,  Naila Rafiq , Nazir Ahmad Mir, On the Stability of Weierstrass Type Method with King's Correction for Finding all Roots of Non-Linear Function with Engineering Application, Applied Mathematical Sciences, Vol. 14, 2020, no. 10, 461 - 473(Y-Cat).
  4. 4. Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq , Saima Akram, Rafiq Ahmed, On Family of Simultaneous Method for Finding Distinct as Well as Multiple Roots of Non-linear Equation, Punjab University Journal of Mathematics, Vol. 52(6)(2020) pp. 31-44, (ISSN 1016-2526).(X-Cat)
  5. 5. Yu-Ming Chu, Naila Rafiq, Mudassir Shams, Saima Akram, Nazir Ahmad Mir and  Humaira Kalsoom,  Computer Methodologies for the Comparison of Some Efficient Derivative Free Simultaneous Iterative Methods for Finding Roots of Non-Linear Equations, Computers, Materials & Continua,2020(Accepted),IF: 3.024, ISSN: 1546-2218.
  6. 6. Naila Rafiq, Saima Akram, Mudassir, Nazir Ahmad Mir, On the Dynamical Behaviour and Stability of Iterative Methods for Finding Distinct and Multiple Roots of Nonlinear Equation with Application, Mathematical Problems in Engineering,2020(Accepted)IF: 1.179.
  7. 7. Aisha Anjum, N A Mir, M. Farooq, S. Ahmad, N. Rafiq, Optimization of entropy generation in thermally stratified polystyrene-water/kerosene nanofluid flow with convective boundary condition, European Physical Journal Plus, 134(2019)176, ISSN:2190-5444, IF:2.612 (26 April 2019)
  8. 8. Naila Rafiq, Nazir Ahmad Mir, Optimal fourth order homotopy analysis methods for nonlinear equations, J. Appl. Environ. Biol. Sci., 5(7) 367-370, 2015.
  9. 9. Nazir Ahmad Mir, Naila Rafiq, Some Families of three-step optimal convergent order iterative methods for solving nonlinear equations,(Accepted) Abstract and Applied Analysis, 2014.
  10. 10. Nazir Ahmad Mir, Khudija Bibi, Naila Rafiq, Three-step methods f or finding multiple root of nonlinear equation, Life Science Journal, 2014;11(7s):387-389.
  11. 11. Nazir Ahmad Mir, Naila Rafiq, Quadrature based higher order families of iterative methods for non-linear equations, Sci. Res. Essays , Vol.9(17), pp.752-757, 15 sept, 2014.
  12. 12. Nazir Ahmad Mir, Saher Akmal Khan, Naila Rafiq, Nusrut Yasmin, Some families of Higher Order three Step Iterative Technique, Life Science Journal 2013; 10(2s):43-53
  13. 13. Naila Rafiq,Nazir Ahmad Mir, Nusrut Yasmin, Some simultaneous methods for determining all the roots of a nonlinear equation, Life Science Journal 2013; 10(2s):54- 59.
  14. 14. Nazir Ahmad Mir, Naila Rafiq, Some New Efficient Iterative Methods for Solving Nonlinear Equations, WASJ, 27(12),1664-1668, 2013.
  15. 15. Nazir Ahmad Mir, Naila Rafiq, Nusrat Yasmin, Quadrature based three-step iterative method for non-linear equations, General Mathematics, Vol. 18(4), 2010, 31-42.
  16. 16. Nazir Ahmad Mir, Naila Rafiq, Saima Akram, An efficient three-step iterative method for non-linear equations, International Journal of Mathematical Analysis Vol 3(37-40), 2009, 1989-1996.
  17. 17. Nazir Ahmad Mir, Naila Rafiq, Nusrat Yasmin, Quadrature based two-step iterative methods for non-linear equations, General Mathematics, Vol.16(1), 2008, 33-45.
  18. 18. Nazir Ahmad Mir, Nusrat Yasmin and Naila Rafiq , An eighth order three-step iterative method for non-linear equations, Global Journal of Pure and Applied Mathematics, Vol 4(2), 2008,73-79.
  19. 19. Nazir Ahmad Mir, Naila Rafiq, Nusrat Yasmin, Some improved iterative methods for solving non-linear equations, International Journal of Pure and Applied Mathematics, Vol. 48(1),2008, 11-19.
  20. 20. Naila Rafiq, Nazir Ahmad Mir, Nusrat Yasmin, A quadrature based variant of Newton’s method for non-linear equations, International Journal of Pure and Applied Mathematics, Vol. 41(8), 2007, 1187-1195.
  21. 21. N. A. Mir, Naila Rafiq, Fourth order two-step iterative methods for determining multiple zeros of non- linear equations, International Journal of Computer Mathematics, Vol. 84(7), 2007,971-977.
  22. 22. N. A. Mir, Naila Rafiq, Third order and fourth order iterative methods for finding multiple and distinct zeros of non- linear equations, Applied Mathematics and Computation, Vol. 190(1),2007, 432-440.

 

Submitted Research Papers in International Journals/HEC recognized Journals

 

  1. 23. Nazir Ahmad Mir, Naila Rafiq, A high-order three-step method for single non-linear and system of non-linear equations.
  2. 24. Naila Rafiq, Nazir Ahmad Mir, Three-step iterative methods for single non-linear and system of non-linear equations.
  3. 25. Naila Rafiq, Nazir Ahmad Mir, Fourth order two-step iterative methods for single nonlinear and system of nonlinear equations.
  4. 26. Nazir Ahmad Mir, Naila Rafiq, New two-step iterative methods based on integral inequalities for solving nonlinear equations
  5. 27. Nazir Ahmad Mir, Naila Rafiq, Integral inequalities based iterative methods for solving system of nonlinear equations.
  • Numerical Analysis
  • Development of new iterative methods which find solution of nonlinear equations with analysis of convergence
  • Numerical solutions of ODE’s and PDE’s,

Education

Ph.D (Numerical Analysis) 

Centre for Advanced Studies  in Pure and Applied Mathematics, B. Z. University, Multan, Pakistan.

M.Phil(Pure Mathematics)

Centre for Advanced Studies in Pure and Applied Mathematics, B. Z. University, Multan, Pakistan.

M.Sc(Pure Mathematics with Distinction)

Centre for Advanced Studies in Pure and Applied Mathematics, B. Z. University, Multan, Pakistan.

Distinctions: 

Indigenous fellowship award for PhD from Higher Education Commission

Secured 4th Position in (MSc Mathematics 2000-2002) B.Z.University, Multan.

Experience

Assistant Professor

Faculty of Engineering and

Computer Sciences, National University of Modern Languages,

Islamabad. 

 

 06 Feb, 2018 to Till Date

Assistant Professor

Mathematics

Department of Mathematics,

Preston University Kohat,

ISLAMABAD Campus.

 

  June, 2016 to  Jan, 2018

Assistant Professor

Mathematics (IPFP)

Department of Mathematics

International Islamic University,

ISLAMABAD, Pakistan.

 March, 2015 to May, 2016

Visiting lecturer of

Mathematics

Department of Mathematics

International Islamic University,

ISLAMABAD, Pakistan.

  Sep, 2010 to March, 2015

Visiting lecturer of

Mathematics

Bahauddin Zakariya University,

MULTAN, Pakistan.

  June, 2003 to June, 2004

Publications

INTERNATIONAL JOURNALS/HEC-RECOGNISED ABSTRACTED JOURNALS

 

  1. 1. Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq, S. Akram , M.Rizwan, Derivative free    iterative simultaneous method for finding distinct roots of polynomial equation, Alexandria Engineering Journal, June, 2020, Vol. 59, 1629-1636. I.F. 3.696
  2. 2. Mudassir Shams,  Nazir Ahmad Mir, Naila Rafiq, A. Othman Almatroud, and Saima Akram, On Dynamics of Iterative Techniques for Nonlinear  Equation with Applications in Engineering, Mathematical Problems in Engineering, Volume 2020, Article ID 5853296, 17 pages, IF: 1.179.
  3. 3. Saima Akram, Mudassir Shams,  Naila Rafiq , Nazir Ahmad Mir, On the Stability of Weierstrass Type Method with King's Correction for Finding all Roots of Non-Linear Function with Engineering Application, Applied Mathematical Sciences, Vol. 14, 2020, no. 10, 461 - 473(Y-Cat).
  4. 4. Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq , Saima Akram, Rafiq Ahmed, On Family of Simultaneous Method for Finding Distinct as Well as Multiple Roots of Non-linear Equation, Punjab University Journal of Mathematics, Vol. 52(6)(2020) pp. 31-44, (ISSN 1016-2526).(X-Cat)
  5. 5. Yu-Ming Chu, Naila Rafiq, Mudassir Shams, Saima Akram, Nazir Ahmad Mir and  Humaira Kalsoom,  Computer Methodologies for the Comparison of Some Efficient Derivative Free Simultaneous Iterative Methods for Finding Roots of Non-Linear Equations, Computers, Materials & Continua,2020(Accepted),IF: 3.024, ISSN: 1546-2218.
  6. 6. Naila Rafiq, Saima Akram, Mudassir, Nazir Ahmad Mir, On the Dynamical Behaviour and Stability of Iterative Methods for Finding Distinct and Multiple Roots of Nonlinear Equation with Application, Mathematical Problems in Engineering,2020(Accepted)IF: 1.179.
  7. 7. Aisha Anjum, N A Mir, M. Farooq, S. Ahmad, N. Rafiq, Optimization of entropy generation in thermally stratified polystyrene-water/kerosene nanofluid flow with convective boundary condition, European Physical Journal Plus, 134(2019)176, ISSN:2190-5444, IF:2.612 (26 April 2019)
  8. 8. Naila Rafiq, Nazir Ahmad Mir, Optimal fourth order homotopy analysis methods for nonlinear equations, J. Appl. Environ. Biol. Sci., 5(7) 367-370, 2015.
  9. 9. Nazir Ahmad Mir, Naila Rafiq, Some Families of three-step optimal convergent order iterative methods for solving nonlinear equations,(Accepted) Abstract and Applied Analysis, 2014.
  10. 10. Nazir Ahmad Mir, Khudija Bibi, Naila Rafiq, Three-step methods f or finding multiple root of nonlinear equation, Life Science Journal, 2014;11(7s):387-389.
  11. 11. Nazir Ahmad Mir, Naila Rafiq, Quadrature based higher order families of iterative methods for non-linear equations, Sci. Res. Essays , Vol.9(17), pp.752-757, 15 sept, 2014.
  12. 12. Nazir Ahmad Mir, Saher Akmal Khan, Naila Rafiq, Nusrut Yasmin, Some families of Higher Order three Step Iterative Technique, Life Science Journal 2013; 10(2s):43-53
  13. 13. Naila Rafiq,Nazir Ahmad Mir, Nusrut Yasmin, Some simultaneous methods for determining all the roots of a nonlinear equation, Life Science Journal 2013; 10(2s):54- 59.
  14. 14. Nazir Ahmad Mir, Naila Rafiq, Some New Efficient Iterative Methods for Solving Nonlinear Equations, WASJ, 27(12),1664-1668, 2013.
  15. 15. Nazir Ahmad Mir, Naila Rafiq, Nusrat Yasmin, Quadrature based three-step iterative method for non-linear equations, General Mathematics, Vol. 18(4), 2010, 31-42.
  16. 16. Nazir Ahmad Mir, Naila Rafiq, Saima Akram, An efficient three-step iterative method for non-linear equations, International Journal of Mathematical Analysis Vol 3(37-40), 2009, 1989-1996.
  17. 17. Nazir Ahmad Mir, Naila Rafiq, Nusrat Yasmin, Quadrature based two-step iterative methods for non-linear equations, General Mathematics, Vol.16(1), 2008, 33-45.
  18. 18. Nazir Ahmad Mir, Nusrat Yasmin and Naila Rafiq , An eighth order three-step iterative method for non-linear equations, Global Journal of Pure and Applied Mathematics, Vol 4(2), 2008,73-79.
  19. 19. Nazir Ahmad Mir, Naila Rafiq, Nusrat Yasmin, Some improved iterative methods for solving non-linear equations, International Journal of Pure and Applied Mathematics, Vol. 48(1),2008, 11-19.
  20. 20. Naila Rafiq, Nazir Ahmad Mir, Nusrat Yasmin, A quadrature based variant of Newton’s method for non-linear equations, International Journal of Pure and Applied Mathematics, Vol. 41(8), 2007, 1187-1195.
  21. 21. N. A. Mir, Naila Rafiq, Fourth order two-step iterative methods for determining multiple zeros of non- linear equations, International Journal of Computer Mathematics, Vol. 84(7), 2007,971-977.
  22. 22. N. A. Mir, Naila Rafiq, Third order and fourth order iterative methods for finding multiple and distinct zeros of non- linear equations, Applied Mathematics and Computation, Vol. 190(1),2007, 432-440.

 

Submitted Research Papers in International Journals/HEC recognized Journals

 

  1. 23. Nazir Ahmad Mir, Naila Rafiq, A high-order three-step method for single non-linear and system of non-linear equations.
  2. 24. Naila Rafiq, Nazir Ahmad Mir, Three-step iterative methods for single non-linear and system of non-linear equations.
  3. 25. Naila Rafiq, Nazir Ahmad Mir, Fourth order two-step iterative methods for single nonlinear and system of nonlinear equations.
  4. 26. Nazir Ahmad Mir, Naila Rafiq, New two-step iterative methods based on integral inequalities for solving nonlinear equations
  5. 27. Nazir Ahmad Mir, Naila Rafiq, Integral inequalities based iterative methods for solving system of nonlinear equations.

Interests

  • Numerical Analysis
  • Development of new iterative methods which find solution of nonlinear equations with analysis of convergence
  • Numerical solutions of ODE’s and PDE’s,