Open AccessNew Approach for Solving Two Dimensional Spaces PDE
Author(s) -
FF Ghazi,
L. N. M. Tawfiq
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012066
Subject(s) - partial differential equation , laplace transform , transformation (genetics) , laplace's equation , heat equation , mathematics , decomposition method (queueing theory) , differential equation , computer science , decomposition , type (biology) , mathematical optimization , mathematical analysis , ecology , biochemistry , chemistry , discrete mathematics , biology , gene
In this paper, new approach based on coupled Laplace transformation with decomposition method is proposed to solve type of partial differential equation. Then it’s used to find the accurate solution for heat equation with initial conditions. Four examples introduced to illustrate the accuracy, efficiency of suggested method. The practical results show the importance of suggested method for solve differential equations with high accuracy and easy implemented.