Approximate Solution of Higher Order Boundary Value Problem Using Modification of Homotopy Analysis Method Based on Adomian Polynomial
Alao Saheed *
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology Ogbomoso, Oyo State, Nigeria.
Oderinu Rasaq Adekola
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology Ogbomoso, Oyo State, Nigeria.
Akinola Emmanuel Idowu
Mathematics Programme, Bowen University Iwo, Osun State, Nigeria.
Oladimeji Akindele Akintayo
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology Ogbomoso, Oyo State, Nigeria.
Salaudeen Kafilat Adebimpe
Department of Mathematics, Alayande College of Education Oyo, Oyo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This numerical technique presents an alternative procedure for solving higher-order boundary value problem. The technique of Homotopy Analysis Decomposition Method was obtained by coupling Adomian polynomial into Homotopy analysis method to decompose the nonlinear term and provides the solution as convergent series. Examples were presented to validate the technique in comparison with existing literatures. The result obtained confirmed the accuracy of the method.
Keywords: Artocarpus heterophyllus, Homotopy analysis method, callus,, Adomian polynomial, pigments., homotopy analysis decomposition method, higher order equation, boundary value problem