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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 2
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Original Articles

Polynomial scaling functions for numerical solution of generalized Kuramoto–Sivashinsky equation

Jalil RashidiniaSchool of Mathematics, Iran University of Science and Technology, Tehran, Iran.Correspondence[email protected]
&
Mahmood JokarSchool of Mathematics, Iran University of Science and Technology, Tehran, Iran.
Pages 293-306 | Received 05 May 2015, Accepted 11 Dec 2015, Published online: 01 Feb 2016

Citations (11)

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R. K. Mohanty & Deepti Kaur. (2019) High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized Kuramoto–Sivashinsky equation. Journal of Difference Equations and Applications 25:2, pages 243-261.
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Articles from other publishers (10)

R. K. Mohanty & Divya Sharma. (2024) A new 2-level implicit high accuracy compact exponential approximation for the numerical solution of nonlinear fourth order Kuramoto–Sivashinsky and Fisher–Kolmogorov equations. Journal of Mathematical Chemistry 62:5, pages 973-1011.
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Renu Choudhary, Satpal Singh, Pratibhamoy Das & Devendra Kumar. (2024) A higher order stable numerical approximation for time‐fractional non‐linear Kuramoto–Sivashinsky equation based on quintic B$$ \mathfrak{B} $$‐spline. Mathematical Methods in the Applied Sciences.
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Bewar A. Mahmood, Karwan H. F. Jwamer & Shko A. Tahir. (2023) A new hybrid technique based on nonpolynomial splines and finite differences for solving the Kuramoto–Sivashinsky equation. AIP Advances 13:6.
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R. K. Mohanty & Sachin Sharma. (2020) A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications. Engineering with Computers 37:3, pages 2073-2087.
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Muhammad Kashif Iqbal, Muhammad Abbas, Tahir Nazir & Nouman Ali. (2020) Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto–Sivashinsky equation. Advances in Difference Equations 2020:1.
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R. K. Mohanty & Sachin Sharma. (2019) A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems. Engineering with Computers 36:4, pages 1485-1498.
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Deepti Kaur & R.K. Mohanty. (2019) Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind. Applied Numerical Mathematics 139, pages 1-14.
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R. K. Mohanty, Sachin Sharma & Swarn Singh. (2018) A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations. Advances in Difference Equations 2018:1.
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Adem Kilicman & Rathinavel Silambarasan. (2018) Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation. Symmetry 10:10, pages 527.
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İbrahim Çelik. (2018) Generalization of Gegenbauer Wavelet Collocation Method to the Generalized Kuramoto–Sivashinsky Equation. International Journal of Applied and Computational Mathematics 4:5.
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