On solving initial value problems for partial differential equations in maple

Author:

Thota Srinivasarao

Abstract

Abstract Objectives In this paper, we present and employ symbolic Maple software algorithm for solving initial value problems (IVPs) of partial differential equations (PDEs). From the literature, the proposed algorithm exhibited a great significant in solving partial differential equation arises in applied sciences and engineering. Results The implementation include computing partial differential operator (), Greens function () and exact solution () of the given IVP. We also present syntax, , to apply the partial differential operator to verify the solution of the given IVP obtained from . Sample computations are presented to illustrate the maple implementation.

Publisher

Springer Science and Business Media LLC

Subject

General Biochemistry, Genetics and Molecular Biology,General Medicine

Reference34 articles.

1. Thota S, Kumar SD. Solving system of higher-order linear differential equations on the level of operators. Int J Pure Appl Math. 2016;106(1):11–21.

2. Thota S, Kumar SD. On a mixed interpolation with integral conditions at arbitrary nodes. Cogent Math. 2016;3(1):1151613.

3. Thota S, Kumar SD. Symbolic algorithm for a system of differential-algebraic equations. Kyungpook Math J. 2016;56(4):1141–60.

4. Thota S, Kumar SD. Maple implementation of symbolic methods for initial value problems. In: Research for resurgence, vol. 1, no. 1; 2018. pp. 21–39. ISBN: 978-93-83861-12-5.

5. Thota S. On a new symbolic method for initial value problems for systems of higher-order linear differential equations. Int J Math Models Methods Appl Sci. 2018;12:194–202.

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