Abstract
We use a matrix formulated algorithm to approximate solutions of a class of nonlinear reaction-diffusion equations with nonlocal boundary conditions. Some theoretical results are presented to simplify application of operational matrix formulation and reduce the computational cost. Convergence analysis and error estimation of the method are also investigated. Finally, some numerical examples are given to demonstrate accuracy and efficiency of the proposed method.
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Borhanifar, A., Shahmorad, S. & Feizi, E. A matrix formulated algorithm for solving parabolic equations with nonlocal boundary conditions. Numer Algor 74, 1203–1221 (2017). https://doi.org/10.1007/s11075-016-0192-x
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DOI: https://doi.org/10.1007/s11075-016-0192-x
Keywords
- Nonlinear reaction-diffusion equation
- Nonlocal mixed boundary conditions
- Operational matrix formulation
- Convergence analysis