July 2015
Saima Akram > Other Awards
Title of Research Project
Derivative Free methods involving free parameters for solving nonlinear equations”
In this project, a general overview of the numerical analysis along with basic terminologies is discussed at first then a brief description in the development of various categories of multipoint root solvers are discussed. The natural question here is not only to find the solution of nonlinear equations but solution in a very fast, efficient and reliable way which is very close to actual solution, so a general procedure to develop some four-parametric with-memory methods to find simple roots of nonlinear equations is proposed. It is worth mentioning that tri-parametric method existed up till now in the history, so it is regarded as first four parametric method. Four self-accelerating parameters have been introduced to boost up the convergence order and computational efficiency of the proposed methods without using any additional function evaluations. Numerical examples are presented to support the theoretical results of the methods. We further investigate the dynamics of the methods in the real and complex planes.
August 2015
Saima Akram > Other Awards
Partial funding to attend International Congress on Industrial & Applied Mathematics (ICIAM), August 10-14, 2015, Beijing, China.
August 2014
Saima Akram > Other Awards
Travelling Grant to attend International Congress of Mathematics ICM 2014
Other Memberships/Affiliations
National Mathematical Society of Pakistan
Degrees:
2000
Master
Mathematical sciences
1997
Undergraduate
Mathematical sciences
Publications resulting from Research
1. Fiza Zafar, Saima Akram, Nusrat Yasmin, An optimal eighth order family of iterative methods for multiple roots, Proceeding of International Conference on Computational Methods( Vol. 5, 2018).
2. Fiza Zafar, Saima Akram, Nusrat Yasmin, Moin-ud-din Junjua, On the Construction of Three Step Four Parametric Methods With Accelerated Order of Convergence, Journal of Nonlinear Science and Applications, 9 (2016), 4542–4553.
3. Nusrat Yasmin, Fiza Zafar, Saima Akram, Optimal Derivative Free Root Finding Methods Based on Hermite Interpolation, Journal of Nonlinear Science and Applications, 9 (2016), 4427–4435.
4. Moin-ud-din Junjua, Saima Akram, Nusrat Yasmin and Fiza Zafar, A New Jarratt Type Fourth Order Method For Solving System of Nonlinear Equations and Applications, Journal of Applied Mathematics, Volume 2015(2015) Article ID 805278,14 pages.
5. Fiza Zafar, Nusrat Yasmin, Saima Akram and Moin-ud-din Junjua, A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation, The Scientific World Journal, Volume 2015 (2015), Article ID 934260, 16 pages.
6. Saima Akram, Moin-ud-din Junjua, Nusrat Yasmin, Fiza Zafar, “A Family of Weighted Mean Based Optimal Fourth Order Methods for Solving System of Nonlinear Equations”, Life Science Journal, 11(7s) 21-30 (2014).
7. Moin-ud-din Junjua, Fiza Zafar, Nusrat Yasmin, Saima Akram, A General Class of Derivative Free Root Solvers With Memory (Accepted in Scientific Bulletin-University Politehnica of Bucharest).
8. Nusrat Yasmin, Raja Sikandar Mehmood, Saima Akram, “A Three-Step Family Of Iterative Methods With Optional Eighth Order Of Convergence”, Life Science Journal, 10(9s) 167-172 (2013).
9. N. A. Mir, Naila Rafiq and Saima Akram, “An Efficient three-step iterative method for non-linear equations”, International Journal of Mathematical Analysis, vol. 3(40), 1989-1996, (2009).
2. Fiza Zafar, Saima Akram, Nusrat Yasmin, Moin-ud-din Junjua, On the Construction of Three Step Four Parametric Methods With Accelerated Order of Convergence, Journal of Nonlinear Science and Applications, 9 (2016), 4542–4553.
3. Nusrat Yasmin, Fiza Zafar, Saima Akram, Optimal Derivative Free Root Finding Methods Based on Hermite Interpolation, Journal of Nonlinear Science and Applications, 9 (2016), 4427–4435.
4. Moin-ud-din Junjua, Saima Akram, Nusrat Yasmin and Fiza Zafar, A New Jarratt Type Fourth Order Method For Solving System of Nonlinear Equations and Applications, Journal of Applied Mathematics, Volume 2015(2015) Article ID 805278,14 pages.
5. Fiza Zafar, Nusrat Yasmin, Saima Akram and Moin-ud-din Junjua, A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation, The Scientific World Journal, Volume 2015 (2015), Article ID 934260, 16 pages.
6. Saima Akram, Moin-ud-din Junjua, Nusrat Yasmin, Fiza Zafar, “A Family of Weighted Mean Based Optimal Fourth Order Methods for Solving System of Nonlinear Equations”, Life Science Journal, 11(7s) 21-30 (2014).
7. Moin-ud-din Junjua, Fiza Zafar, Nusrat Yasmin, Saima Akram, A General Class of Derivative Free Root Solvers With Memory (Accepted in Scientific Bulletin-University Politehnica of Bucharest).
8. Nusrat Yasmin, Raja Sikandar Mehmood, Saima Akram, “A Three-Step Family Of Iterative Methods With Optional Eighth Order Of Convergence”, Life Science Journal, 10(9s) 167-172 (2013).
9. N. A. Mir, Naila Rafiq and Saima Akram, “An Efficient three-step iterative method for non-linear equations”, International Journal of Mathematical Analysis, vol. 3(40), 1989-1996, (2009).
International Congress on Industrial & Applied Mathematics (ICIAM)
2025
Derivative Free General Family of With and Without Memory Root Findings Method
International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM)
2025
On The Construction of Three Step Derivative Free Four-Parametric Methods with Accelerated Order of Convergence
International Congress of Mathematics ICM 2014
2025
A Family of Optimal Fourth Order Weighted Mean Based Methods For solving System of Nonlinear Equations
National Workshop on Applied Nonlinear Analysis
2025
Poster Presentation, “Dynamical Behavior of Root Finding Iterative Methods”
English for Academic purposes
2025
Teaching Undergraduate Mathematics
2025
International Congress on Industrial & Applied Mathematics (ICIAM)
2025
International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM)
2025
Lecture on Phenomenal Evolution of Time and Space
2025
National Workshop on Applied Nonlinear Analysis
2025
International Congress of Mathematics(ICM)
2025
International Congress for Women Mathematicians(ICWM)
2025
Summer Course on, “Leadership Institute and Training”
2025
First Mathematics Conference
2025
International Conference on, “The role of Women in Nation Building”
2025
Educational Management (Workshop)
2025
Teaching of Math (Workshop)
2025