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2024 | OriginalPaper | Buchkapitel

Cubic B-Spline Technique for Numerical Solution of Second Order Convection-Diffusion PDEs

verfasst von : Kiran Dhirawat, Ramakanta Meher

Erschienen in: Advances in Mathematical Modelling, Applied Analysis and Computation

Verlag: Springer Nature Switzerland

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Abstract

This paper introduces an innovative cubic B-spline method designed for computing precise numerical solutions to linear partial differential equations in one dimension. Through a comprehensive error analysis, the proposed technique has been extensively evaluated, showcasing its robust stability. Its application across diverse convection-diffusion linear problems-encompassing fields such as heat transfer, acoustics, and mass transfer-has proven its efficacy and accuracy. Comparative assessments against exact solutions have highlighted the superiority of our method, consistently delivering improved numerical outcomes.

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Vorheriges Kapitel Anti-intuitionistic Fuzzy Soft Modules in BCK/BCI-Algebras

Nächstes Kapitel Integral Transforms and Generalized Quotient Space on the Torus

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Titel: Cubic B-Spline Technique for Numerical Solution of Second Order Convection-Diffusion PDEs
verfasst von: Kiran Dhirawat
Ramakanta Meher
Verlag: Springer Nature Switzerland
Buch: Advances in Mathematical Modelling, Applied Analysis and Computation
Print ISBN: 978-3-031-56306-5

Electronic ISBN: 978-3-031-56307-2

Copyright-Jahr: 2024
DOI: https://doi.org/10.1007/978-3-031-56307-2_18

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