A simple algorithm for numerical solution of nonlinear parabolic partial differential equations
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DOI: 10.1007/s00366-019-00796-z
Abstract: In this paper, numerical solution of nonlinear two-dimensional parabolic partial differential equations with initial and Dirichlet boundary conditions is considered. The time derivative is approximated using finite difference scheme whereas space derivatives are approximated using… read more here.
Keywords: partial differential; numerical solution; solution nonlinear; method ... See more keywords
A Projection Method for the Conservative Discretizations of Parabolic Partial Differential Equations
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DOI: 10.1007/s10915-017-0536-2
Abstract: We present a projection method for the conservative discretizations of parabolic partial differential equations. When we solve a system of discrete equations arising from the finite difference discretization of the PDE, we can use iterative… read more here.
Keywords: partial differential; method conservative; discretizations parabolic; parabolic partial ... See more keywords
Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients
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DOI: 10.1155/2017/2947275
Abstract: A complete family of solutions for the one-dimensional reaction-diffusion equation, , with a coefficient depending on is constructed. The solutions represent the images of the heat polynomials under the action of a transmutation operator. Their… read more here.
Keywords: analytic approximation; partial differential; solutions parabolic; differential equations ... See more keywords