A Numerical Method for Solution of the Heat Equation with Nonlocal Nonlinear Condition
نویسندگان
چکیده
This paper deals with a numerical method for the solution of the heat equation with nonlinear nonlocal boundary conditions. Here nonlinear terms are approximated by Richtmyer’s linearization method. The integrals in the boundary equations are approximated by the composite Simpson rule. A difference scheme is considered for the one-dimensional heat equation. In final part, the numerical results produced by this method are compared. MCS (2010) No.: 35K05 • 35K60 • 65M06 Key word: Heat equation • nonlocal boundary condition • initial condition • finite-difference scheme • nonlinear
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