A smooth approximation for non-linear second order boundary value problems using composite non-polynomial spline functions

Anju Chaurasia; Yogesh Gupta; Prakash C. Srivastava

doi:10.24193/subbmath.2020.3.11

A smooth approximation for non-linear second order boundary value problems using composite non-polynomial spline functions

Authors

Anju Chaurasia Birla Institute of Technology, Allahabad(U.P.)
Yogesh Gupta Department of Mathematics, Jaypee Institute of Information Technology, Noida- 201307, India.
Prakash C. Srivastava Department of Mathematics, Birla Institute of Technology

DOI:

https://doi.org/10.24193/subbmath.2020.3.11

Keywords:

Cubic non-polynomial spline, second order boundary-value problems, numerical approximation, error Analysis, convergence analysis.

Abstract

A different amalgamation of non-polynomial splines is used to find the approximate solution of linear and non-linear second order boundary value problems.Cubic spline functions are assembled with exponential and trigonometric functions to develop the different orders of numerical schemes. Free parameter k of the non-polynomial part is also used to form a new scheme, which elevates the accuracy of the solution. Numerical illustrations are given to validate the applicability and feasibility of the present method and also depicted in the graphs.

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A smooth approximation for non-linear second order boundary value problems using composite non-polynomial spline functions

Published

2020-09-17

Issue

Vol. 65 No. 3 (2020)

Section

Articles

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