Title

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

Authors

Chaurasia, Anju; Gupta, Yogesh; Srivastava, Prakash C.

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 methods and also depicted in the graphs.

Subjects

BOUNDARY value problems; SPLINES; SPLINE theory; TRIGONOMETRIC functions; EXPONENTIAL functions

Publication

Studia Universitatis Babeş-Bolyai, Mathematica, 2020, Vol 65, Issue 3, p453

ISSN

0252-1938

Publication type

Academic Journal

DOI

10.24193/subbmath.2020.3.11