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

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.