A comprehensive study of subdivision collocation method for Burgers' equation
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Inc
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
This study explores the use of subdivision schemes to efficiently solve Burgers' equation. Burgers' equation is a fundamental fluid dynamics equation that describes the nonlinear behavior of fluid flow. This type of nonlinear equation is difficult to solve analytically, which makes the numerical solution an important tool. The subdivision collocation method (SCM) converts Burgers' equation into a system of algebraic linear equations using the quasilinearization technique. The results of this study demonstrate that the proposed approach yields accurate numerical solutions for Burgers' equation. Additionally, the subdivision approach is computationally efficient and requires fewer computational resources than existing numerical methods, making it a promising tool for solving Burgers' equation in practical applications. Overall, this study provides valuable insights into the approximate solution of Burgers' equation by implementing subdivision schemes.
Description
Keywords
Burgers' equation, collocation algorithm, stability, subdivision schemes
Journal or Series
Numerical Heat Transfer Part B-Fundamentals
WoS Q Value
N/A
Scopus Q Value
Q2
