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Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method

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Abstract

A novel combination of two schemes has been implemented to determine the approximate solution of Kuramoto–Sivashinsky equation. Differential quadrature method using well-known cubic trigonometric B-splines is adapted in space to obtain a system of initial value problems and reformulated one-step optimized hybrid block method is constructed to deal with the resulted system. A stability and convergence analysis of the method is discussed in detail. Numerical findings corroborate the accuracy and better performance of the proposed method.

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The authors declare that the data supporting the findings of this study are available within the article.

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For programming, MatlabR2017a has been used.

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Funding

Ms. Anurag Kaur is supported financially by the funding agency, the University Grants Commission (UGC), New Delhi, India under the scheme of UGC-CSIR NET-JRF with reference id 403645.

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Authors and Affiliations

  1. Department of Mathematics, Panjab University, Chandigarh, India

    Anurag Kaur

  2. University Institute of Engineering and Technology, Panjab University, Chandigarh, India

    V. Kanwar

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  1. Anurag Kaur
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AK carried out the Matlab programming. All authors contributed to manuscript conceptualization and editing. All authors read and approved the final manuscript.

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Correspondence to Anurag Kaur.

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Kaur, A., Kanwar, V. Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method. Int. J. Appl. Comput. Math 8, 20 (2022). https://doi.org/10.1007/s40819-021-01220-1

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