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Computational Solution of Two–Point Boundary Value Problems with Derivative Boundary Conditions using Cubic-Spline Process

Journal: International Journal of Mechanical and Production Engineering Research and Development (IJMPERD ) (Vol.10, No. 3)

Publication Date:

Authors : ; ;

Page : 8249-8258

Keywords : Boundary Value Problems (BVPs); Boundary Conditions (BCs) Cubic Spline (CS); Thomas Algorithm; Differential Equation (DE).;

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An attempt has been made here to study a two –point BVP with the mixed BCs. A cubic spline function is used to arrive at the solution of the second-order linear two-point BVPs with considerable slope conditons. While implementing the method we are applied three point recursion algorithm termed as “Thomas algorithm “, after incorporating the cubic-splines involves some parameters. These parameters may be suitably chosen to obtain an non-oscillation solution of the governing equation. The same method has been implemented on some linear problems and realised , the numerically computed results are in line with the analytical solutions available in the literature.

Last modified: 2020-11-19 21:04:43