The aim of the present work is to find the numerical solutions for time‐fractional coupled
Burgers equations using a new novel technique, called fractional natural decomposition …

In this article, an efficient novel technique, namely the q‐homotopy analysis transform
method (q‐HATM) is applied to find the solution for the time‐fractional Kaup‐Kupershmidt …

In this study, we use the improved Bernoulli sub-equation function method for exact
solutions to the generalized (3+ 1) shallow water-like (SWL) equation. Some new solutions …

Solutions of the nonlinear physical problems are significant and a vital topic in real life while
the soliton based algorithms are promising techniques to analyze the solutions of various …

Researching different solutions of nonlinear models has been interesting in different fields of
science and application. In this study, we investigated different solutions of fourth-order …

In this paper, a comparative study of recently developed numerical methods in solving
nonlinear Newell-–Whitehead—Segel equations is carried out. Results computed using …

This paper presents a numerical technique for solving the nonlinear Benjamin-Bona-
Mahony equation. As a first step, we discretize the time by approximating the first-order time …

In this paper, we have obtained the numerical solutions of complex differential equations
with variable coefficients by using the Legendre Polynomials and we have performed it on …

In this paper, the numerical solutions of complex differential equations are provided by the
Hermite Polynomials and carried on two problems. As a result, the exact solutions and …

In this paper, we have obtained the numerical solutions of complex differential equations by
using the Fibonacci Polynomials and performed it two test problems. When we have …