Linearly-implicit, approximate factorization, exponential methods for multidimensional reaction-diffusion equations

DOI10.1016/J.AMC.2005.07.020zbMath1090.65109OpenAlexW2145297774MaRDI QIDQ2489391

Juan I. Ramos

Publication date: 16 May 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.07.020

zbMATH Keywords

numerical examplesapproximate factorizationtwo-point boundary-value problemsreaction-diffusion equationsill-conditioned systemsRothe's methodslinearly implicit techniquespiecewise exponential solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Numerical methods for nonlinear second-order hyperbolic partial differential equations. II: Rothe's techniques for 1-D problems ⋮ On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition ⋮ Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions

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