COMPARATIVE ANALYSIS OF DIFFERENTIAL TRANSFORMATION METHOD AND A NEWLY DERIVED ALGORITHM
OGUNRINDE ROSELINE BOSEDE *
Department of Mathematics, Ekiti State University, Ado-Ekiti, Nigeria.
AJIBOYE EMILY SEFUNMI
Department of Mathematics, Ekiti State University, Ado-Ekiti, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The paper presents the use of Differential Transformation Method (DTM) to find the numerical solution of first order ordinary differential equations. A numerical scheme capable of solving first order ordinary differential is also developed. Comparison is carried out between the newly derived algorithm and the established differential Transformation method by using the two methods to solve some selected initial value problems.
Keywords: Differential equations, numerical method, DTM