Rashid Nawaza’s research while affiliated with Abdul Wali Khan University Mardan and other places

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (1)


Convergence control parameters for different values of α for Example 1
Convergence control parameters for different values of α for Example 3
Comparison of numerical results of Fornberg-Whitham equation via OAFM is compared with HPTM when α = 1.0
New approximate solutions to time fractional order partial differential equations optimal auxilary function method
  • Article
  • Full-text available

April 2023

·

254 Reads

·

5 Citations

Thermal Science

Rashid Nawaza

·

·

·

[...]

·

In this article, approximate solutions of some PDE of fractional order are investi­gated with the help of a new semi-analytical method called the optimal auxiliary function method. The proposed method was tested upon the time-fractional Fisher equation, the time-fractional Fornberg-Whitham equation, and the time-fractional Inviscid Burger equation. The beauty of this method is that there is no need for discretization and assumptions of small or large parameters and provides an ap­proximate solution after only one iteration. The numerical results obtained by the proposed method compared with the other existing methods used in the literature. From the numerical and graphical results, it is clear that the proposed method gives a better solution than existing methods. The MATHEMATICA software pack­age has been used for the huge computational work.

Download

Citations (1)


... It has significant implications for many fields of science and engineering, fluid mechanics, mathematical physics, mathematical biology, hydrodynamics, and many others [1][2][3][4][5][6][7]. Since NLEEs are very difficult to unravel, so many powerful analytical and numerical methods are developed and established for solutions such as the sine-Gordon technique [8], the improved F-expansion approach [9], the enhanced ( ′ G G / )-expansion method [10,11], the binary Darboux transformation [12], the variational direct method [13], the extended version of exp (−ψ κ ( ))-expansion method [14], the Hirota direct methodology [15], the Lie symmetry approach [16,17], the extended Kudryashov method [18], the extended homoclinic test technique [19], the ′ G G G / , 1/ ( )expansion approach [20], the meshless method [21], the Mohand variational transform method [22], the Paul-Painlevé approach method [23], the exact solution method [24], the optimal auxiliary function method [25], the extended simple equation technique [26], the Bernoulli sub-ordinary differential equation approach [27], the (w g / )-expansion method [28], the improved F-expansion and unified methods [29], and the modified version of the new Kudryashov method [30]. ...

Reference:

Stability analysis, phase plane analysis, and isolated soliton solution to the LGH equation in mathematical physics
New approximate solutions to time fractional order partial differential equations optimal auxilary function method

Thermal Science