Efficient Approach for Solving (2+1) D- Differential Equations

Abstract

In this article, a new efficient approach is presented to solve a type of partial differential equations, such (2+1)-dimensional differential equations non-linear, and nonhomogeneous. The procedure of the new approach is suggested to solve important types of differential equations and get accurate analytic solutions i.e., exact solutions. The effectiveness of the suggested approach based on its properties compared with other approaches has been used to solve this type of differential equations such as the Adomain decomposition method, homotopy perturbation method, homotopy analysis method, and variation iteration method. The advantage of the present method has been illustrated by some examples.

Novel Neural Network Based on New Modification of BFGS Update Algorithm for Solving Partial Differential Equations

“…This problem solved by sme researchers by using different methods such as the direct integration method, homotopy perturbation method (HPM), multiple exp-function method, improved Bernoulli sub-equation function method and etc. In [6,7,8,9,10], The solutions are derived in terms of hyperbolic, trigonometric and rational functions and get the solution with free parameters. The general exact solutions of these equations are converted into different known shape waves, namely, kink, bell shape soliton, periodic soliton, singular solitons etc.…”