Author:
Hussein N. A.,Tawfiq L. N. M.
Abstract
Abstract
This article presents an exact analysis solution for (2+1) dimensional differential equations by using new approach based on coupled method via LA-transform with decomposition method to overcome the computational difficulties. Convergence of series solution has been discussed with two illustrated examples, and the method has shown a high-precision, fast approach to solve non-linear (2+1) dimensional PDEs with initial conditions, there is no need any discretization of domain or assumption for a small parameter to be present in the problem. The steps of suggested method are easy implemented, high accuracy and a rapid convergence to the exact solution compared with other methods can be used to solve this type of PDEs.
Subject
General Physics and Astronomy
Reference32 articles.
1. The Variational iteration method for solving linear and nonlinear systems of PDEs;Wazwaz;Comput. Math. Appl.,2007
2. Pollution of soils by heavy metals in East Baghdad in Iraq;Tawfiq,2015
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Double LA-transform and their properties for solving partial differential equations;2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY;2023
2. Exact soliton solution for systems of non-linear (2+1)D-DEs;2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY;2023
3. Solitary wave solution of Zakharov-Kuznetsov equation;PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science;2022