Solution of Two-Point Linear and Nonlinear Boundary Value Problems with Neumann Boundary Conditions Using a New Modified Adomian Decomposition Method
Justina Mulenga *
Department of Mathematics, Copperbelt University, P. O. Box 21692, Riverside, Kitwe, Zambia
Patrick Azere Phiri
Department of Mathematics, Copperbelt University, P. O. Box 21692, Riverside, Kitwe, Zambia
*Author to whom correspondence should be addressed.
Abstract
In this paper, we present the New Modified Adomian Decomposition Method which is a modification of the Modified Adomian Decomposition Method. The new method incorporates the inverse linear operator theorem into the modified Adomian decomposition method for the calculation of u0. Six linear and nonlinear boundary value problems with Neumann conditions are solved in order to test the method. The results show that the method is effective.
Keywords: Neumann boundary conditions, Adomian decomposition method, new modified adomian decomposition method.