Solving Graphically Sine Wave Second Order Boundary Value Problem using Laplace Transform and Finite Difference Method

M.Shalini; M.Sathyavathy

doi:https://doi.org/10.14445/22315373/IJMTT-V65I1P510

International Journal of Mathematics Trends and Technology

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Volume 65 | Issue 1 | Year 2019 | Article Id. IJMTT-V65I1P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I1P510

Solving Graphically Sine Wave Second Order Boundary Value Problem using Laplace Transform and Finite Difference Method

M.Shalini, M.Sathyavathy

Abstract

In this paper the FDM & LT method has been established for the numerical solution of a two-point second order boundary value problem’s (BVP) are analyzed. Numerical solutions of both methods were implemented and are tabulated. Finally it was observed that the finite-difference method is numerically more strengthen and converges the nearer to LT solution by taking the lengthen intervals.

Keywords

Boundary value problem (BVP), Laplace Transform (LT), Finite difference Method (FDM).

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Citation :

M.Shalini, M.Sathyavathy, "Solving Graphically Sine Wave Second Order Boundary Value Problem using Laplace Transform and Finite Difference Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 1, pp. 57-61, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I1P510