Open AccessNew Approach for Solving Partial Differential Equations Based on Collocation Method
Author(s) -
Alaa Almosawi,
L. N. M. Tawfiq
Publication year - 2020
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v18i.8733
Subject(s) - mathematics , collocation method , orthogonal collocation , collocation (remote sensing) , linearization , first order partial differential equation , partial differential equation , series (stratigraphy) , differential equation , mathematical analysis , nonlinear system , computer science , ordinary differential equation , paleontology , physics , machine learning , quantum mechanics , biology
In this paper, a new approach for solving partial differential equations was introduced. The collocation method based on LA-transform and proposed the solution as a power series that conforming Taylor series. The method attacks the problem in a direct way and in a straightforward fashion without using linearization, or any other restrictive assumption that may change the behavior of the equation under discussion.
Five illustrated examples are introduced to clarifying the accuracy, ease implementation and efficiency of suggested method. The LA-transform was used to eliminate the linear differential operator in the differential equation.