Modified Adomian Decomposition Method for Solving Eleventh-order Initial and Boundary Value Problems
Hardik S. Patel
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Surat - 395007, India.
Ramakanta Meher *
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Surat - 395007, India.
*Author to whom correspondence should be addressed.
Abstract
A modified Adomian decomposition method is developed for the numerical solution of Eleventhorder initial and boundary value problems. The approximate solutions of the problems are calculated in the form of a rapid convergent series and on one and both grid points. The calculated numerical results show reliability and efficiency of the algorithm given. Two numerical examples of linear and nonlinear problems have been considered to illustrate the efficiency and implementation of the method.
Keywords: Eleventh order initial and boundary value problems, modified adomian decomposition method