A smooth approximation for non-linear second order boundary value problems using composite non-polynomial spline functions
DOI:
https://doi.org/10.24193/subbmath.2020.3.11Keywords:
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.Downloads
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Published
2020-09-17
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