New Modified Adomin Decomp osition Metho d for Boundary Value Problems of Higher-order Ordinary Differential Equation
Zainab Ali Ab du Al-Rabahi
Department of Mathematics, Faculty of Education, Art and Science, Sheba Region University, Yemen.
Yahya Qaid Hasan *
Department of Mathematics, Faculty of Education, Art and Science, Sheba Region University, Yemen.
*Author to whom correspondence should be addressed.
Abstract
This study will present a new modified differential operator for solving third-order boundary value problems into higher-order ordinary differential equation. We found the differential operator for new three inverse operator which can be applied for solving equations at more than one type in different conditions. We put a detailed plan for five non-linear examples from a high-order, we get dynamic and quickly to the exact solution.
Keywords: Boundary value problems, adomain decomposition method, boundary conditions, higher-order nonlinear ODE