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Afrika Matematika

, Volume 28, Issue 3–4, pp 443–450 | Cite as

Numerical approximations of second order PDEs by boundary value methods and the method of lines

  • T. A. Biala
  • S. N. Jator
  • R. B. Adeniyi
Article

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.

Keywords

Second order PDEs Boundary value methods Method of lines Nonlinear PDEs 

AMS Subject Classification

65M12 65M20 65L05 65L06 

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Copyright information

© African Mathematical Union and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceSule Lamido UniversityKafin HausaNigeria
  2. 2.Department of Mathematics and StatisticsAustin Peay State UniversityClarksvilleUSA
  3. 3.Department of MathematicsUniversity of IlorinIlorinNigeria

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