Solution of Eighth-Order Boundary Value Problems by Petrov–Galerkin Method with Quintic and Sextic B-Splines

K N S Kasi Viswanadham,S V Kiranmayi Ch

doi:10.1007/978-981-13-1903-7_3

Solution of Eighth-Order Boundary Value Problems by Petrov–Galerkin Method with Quintic and Sextic B-Splines

K N S Kasi Viswanadham, S V Kiranmayi Ch

https://doi.org/10.1007/978-981-13-1903-7_3

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Publication Date: Dec 13, 2018

Affiliation: National Institute of Technology Warangal

#Quintic B-splines #Sextic B-splines + Show 8 more

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Abstract

In this paper, quintic B-splines (QBS) as basis (test) functions and sextic B-splines (SBS) as weight functions have been used in Petrov–Galerkin method to solve an eighth-order boundary value problem. The approximate solution has been modified into a form which takes care of most of the given boundary conditions. The weight functions are modified into a new set which suits for the Petrov–Galerkin method. Some examples are tested for the illustration purpose of the present method.

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