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International Journal of Computer Mathematics Volume 98, 2021 - Issue 3
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Original Articles

Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation

Ömer OruçEğil Vocational and Technical Anatolian High School, Diyarbakır, TurkeyCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-6655-3543
ORCID Icon
Pages 461-479 | Received 28 Aug 2019, Accepted 03 Apr 2020, Published online: 26 Apr 2020

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Stefania Tomasiello, Jorge E. Macías-Díaz & Joel Alba-Pérez. (2023) An alternative formulation of the differential quadrature method with a neural network perspective. International Journal of Computer Mathematics 100:6, pages 1248-1263.
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Articles from other publishers (13)

Harekrishna Deka & Jnanjyoti Sarma. (2023) Numerical Simulation and Analysis of the Modified Burgers' Equation in Dusty Plasmas. East European Journal of Physics:4, pages 66-76.
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Ömer Oruç & Murat Polat. (2023) A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations. Mathematical Methods in the Applied Sciences 46:17, pages 18150-18165.
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Harender Kumar & Neha Yadav. (2023) A Deep Learning Algorithm for Solving Generalized Burgers–Fisher and Burger’s Equations. International Journal of Applied and Computational Mathematics 9:5.
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Miaomiao Yang, Wentao Ma & Yongbin Ge. (2023) BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN. Mathematical Modelling and Analysis 28:2, pages 330-351.
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Iman Rezaei & Mohammad Vaghefi. (2022) Numerical solution of the three-dimensional Burger’s equation by using the DQ-FD combined method in the determination of the 3D velocity of the flow. Applied Water Science 13:1.
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Muaz Seydaoğlu. (2022) An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme. Mathematical Sciences.
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Ömer Oruç. (2022) An accurate computational method for two-dimensional (2D) fractional Rayleigh-Stokes problem for a heated generalized second grade fluid via linear barycentric interpolation method. Computers & Mathematics with Applications 118, pages 120-131.
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Ömer Oruç. (2022) Numerical simulation of two‐dimensional and three‐dimensional generalized Klein–Gordon–Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation . Numerical Methods for Partial Differential Equations 38:4, pages 1068-1089.
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Ihteram Ali, Sirajul Haq, Kottakkaran Sooppy Nisar & Dumitru Baleanu. (2021) An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Advances in Difference Equations 2021:1.
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Ihteram Ali, Sirajul Haq, Kottakkaran Sooppy Nisar & Shams Ul Arifeen. (2021) Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials. Arabian Journal of Mathematics 10:3, pages 513-526.
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Murat Polat & Ömer Oruç. (2021) A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation. International Journal of Geometric Methods in Modern Physics 18:13.
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Ömer Oruç. (2021) Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves. Wave Motion 101, pages 102687.
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Mehdi Dehghan, Nasim Shafieeabyaneh & Mostafa Abbaszadeh. (2020) Application of spectral element method for solving Sobolev equations with error estimation. Applied Numerical Mathematics 158, pages 439-462.
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