[HTML][HTML] New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera …
This manuscript presents enhanced versions of two methods: the natural transform iterative
method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness …
method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness …
[HTML][HTML] Modified optimal auxiliary functions method for approximate-analytical solutions in fractional order nonlinear Foam Drainage equations
The study aims to obtain new approximate analytical solutions for the fractional order
nonlinear Foam Drainage equation through a novel modification of the well-known Optimal …
nonlinear Foam Drainage equation through a novel modification of the well-known Optimal …
[HTML][HTML] Extension of optimal auxiliary function method to nonlinear Sin Gordon partial differential equations
In this paper, the new semi-analytical method called optimal auxiliary function method has
been extended for finding the approximate solution of the non-linear Sine Gordon and …
been extended for finding the approximate solution of the non-linear Sine Gordon and …
Utilizing the Optimal Auxiliary Function Method for the Approximation of a Nonlinear Long Wave System considering Caputo Fractional Order
In this article, we explore the utilization of the Caputo derivative and the Riemann–Liouville
(R–L) fractional integral to analyze the optimal auxiliary function method for approximating …
(R–L) fractional integral to analyze the optimal auxiliary function method for approximating …