Numerical Solution of Linear Parabolic Equation With Rational Coefficients

Masaharu Nakashima

Journal of Mathematics Research, 2024, vol. 15, issue 1, 1

Abstract: In this paper, we present explicit scheme for solving rational coefficient (which depends only on space variable) parabolic equation. The explicit scheme is required some restriction on step size ratio k/h^2, →0 in stability, where k and h are step sizes for space and time respectively. In this paper, we will present the explicit scheme is sable without restriction on the step size ratio k/h^2. We also show the scheme converge to true solution under some conditions on coefficient.

Date: 2024
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