Numerical Integration of Analytic Function Through Extrapolation

Singh, Arjun; Jena, Saumya Ranjan; Mishra, B.B.

doi:10.17485/ijst/2017/v10i37/93435

Indian Journal of Science and Technology

2017

DOI: 10.17485/ijst/2017/v10i37/93435

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Numerical Integration of Analytic Function Through Extrapolation

Arjun Singh¹,

Saumya Ranjan Jena²,

B.B. Mishra³

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2021

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Numerical treatment of Kuramoto-Sivashinsky equation on B-spline collocation

Jena

Gebremedhin

2021

Arab Journal of Basic and Applied Sciences

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In this article, a nonic B-spline collocation approach is applied to solve the approximate solution of Kuramoto-Sivashinsky equation (KSE). Here the nonlinear term of KSE is linearizing using Taylor series technique. The main objective of this study is to provide a new class of approach by applying some possible higher-order derivatives rather than lower order derivatives of the nonic B-spline on the boundary conditions of KSE in finding the additional constraints, which help us to obtain a unique solution of the problem. The stability analysis is investigated using the Von-Neumann scheme and the proposed scheme is found to be unconditionally stable. The efficiency and accuracy of the proposed approach are demonstrated by two numerical tests and the current results are compared with the exact solution and result of others in the literature.

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Numerical treatment of Kuramoto-Sivashinsky equation on B-spline collocation

Jena

Gebremedhin

2021

Arab Journal of Basic and Applied Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

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Numerical Integration of Analytic Function Through Extrapolation

Cited by 1 publication

References 9 publications

Numerical treatment of Kuramoto-Sivashinsky equation on B-spline collocation

Numerical treatment of Kuramoto-Sivashinsky equation on B-spline collocation

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