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Publication Type : Journal Article
Publisher : Bulletin of Computational Applied Mathematics
Source : Bulletin of Computational Applied Mathematics, 8 (1) (2020), 1--24.
Campus : Amaravati
School : School of Physical Sciences
Department : Chemistry
Year : 2020
Abstract : In this paper, a new symbolic algorithm to find the Green's function of a given initial value problem for linear partial differential equations of second order with constant coefficients is discussed. Same algorithm also works for n-th order partial differential equations. We employ the integro-differential algebra to express the initial value problems and the Green's function. Some examples are presented to illustrate the proposed method compared with other existing method. Implementation of the proposed algorithm in Maple is discussed and sample computations are shown.
Cite this Research Publication : S. Thota, S. D. Kumar: Symbolic Algorithm to Solve Initial Value Problems for Partial Differential Equations, Bulletin of Computational Applied Mathematics, 8 (1) (2020), 1--24