New Approach for Solving Three Dimensional Space Partial Differential Equation

• Main Author: Enadi et al.
• Format: Article
• Language: Arabic
• Published: College of Science for Women, University of Baghdad 2019-09-01
• Series: Baghdad Science Journal
• Subjects: Convergence, Coupled two methods, Homotopy perturbation method, Partial differential equations, Transformation.
• Online Access: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4153
• ISSN: 2078-8665; 2411-7986

This paper presents a new transform method to solve partial differential equations, for finding suitable accurate solutions in a wider domain. It can be used to solve the problems without resorting to the frequency domain. The new transform is combined with the homotopy perturbation method in order to solve three dimensional second order partial differential equations with initial condition, and the convergence of the solution to the exact form is proved. The implementation of the suggested method demonstrates the usefulness in finding exact solutions. The practical implications show the effectiveness of approach and it is easily implemented in finding exact solutions.        Finally, all algorithms in this paper are implemented in MATLAB version 7.12.