Journal
APPLICABLE ANALYSIS
Volume 88, Issue 1, Pages 75-87Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036810802556787
Keywords
non-polynomial spline; non-linear modified Burgers' equation; Von Neumann stability; accuracy
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In this article, we propose a non-polynomial spline-based method to obtain numerical solutions of the non-linear modified Burgers' equation. Applying the Von Neumann stability analysis, the developed method is shown to be conditionally stable. A numerical example is given to illustrate the applicability, and the accuracy of the proposed method compared with other existing recent method.
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