A novel quintic B-spline technique for numerical solution of fourth-order singularly-perturbed boundary value problems with discontinuous source terms

A novel quintic B-spline technique for numerical solution of fourth-order singularly-perturbed boundary value problems with discontinuous source terms

Abstract The current research proposes a novel efficient quintic B-spline (QBS) numerical technique based on piecewise uniform mesh for the numerical solution of fourth-order singularly perturbed boundary value problems (SPBVP) with discontinuous source terms (DST). The fifth-degree basis spline fun...

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Bibliographic Details
Main Authors: Shilpkala T. Mane, Ram Kishun Lodhi
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Boundary Value Problems
Subjects:
Singularly perturbed boundary value problem
Fourth-order reaction-diffusion equation
Discontinuous source term
Quintic B-spline method
Truncation error
Online Access:https://doi.org/10.1186/s13661-024-01983-8
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https://doi.org/10.1186/s13661-024-01983-8

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