Publication Type : Journal Article
Publisher : International Journal of Mathematics and Computers in Simulation
Source : International Journal of Mathematics and Computers in Simulation, 13 (2019), 160--164
Url : https://www.naun.org/main/NAUN/mcs/2019/a502002-abh.pdf
Keywords : Boundary value problem, Initial value problem, Green’s function, Interpolation, Symbolic method.
Campus : Amaravati
School : School of Physical Sciences
Department : Chemistry
Year : 2019
Abstract : In this paper, we discuss a simple and efficient symbolic method to find the Green’s function of a two-point boundary value problem for linear ordinary differential equations with inhomogeneous Stieltjes boundary conditions. The proposed method is also applicable to find an approximate solution of a two-point boundary value problem for non-linear differential equations. Certain examples are presented to illustrate the proposed method. The method is easy to implement the manual calculations in commercial mathematical softwares, such as Maple, Mathematica, Singular, SCIlab etc. Implementation of the proposed algorithm in Maple is also discussed and sample computations are shown using the Maple implementation.
Cite this Research Publication : S. Thota: On A New Symbolic Method for Solving Two-point Boundary Value Problems with Variable Coefficients, International Journal of Mathematics and Computers in Simulation, 13 (2019), 160--164
