Abstract
In this work, we study the performance of boundary value methods (BVMs) discussed in Biala [10] and Biala et al. [11] in combination with the method of lines on second order PDEs. The method of lines converts the PDEs into an equivalent system of second order ordinary differential equations. The performance of BVMs on the semi-discretized system is evidenced by a few numerical examples.
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Biala, T.A., Jator, S.N. & Adeniyi, R.B. Numerical approximations of second order PDEs by boundary value methods and the method of lines. Afr. Mat. 28, 443–450 (2017). https://doi.org/10.1007/s13370-016-0458-4
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DOI: https://doi.org/10.1007/s13370-016-0458-4