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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 6
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Articles

Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs

Mehdi DehghanFaculty of Mathematics and Computer Sciences, Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran.Correspondence[email protected] [email protected]
&
Mostafa AbbaszadehFaculty of Mathematics and Computer Sciences, Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran.
Pages 936-969 | Received 05 Nov 2015, Accepted 15 Mar 2016, Published online: 04 Apr 2016

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Te Xu, Yongxia Liu, Lixin Tang & Chang Liu. (2022) Improvement of Kriging interpolation with learning kernel in environmental variables study. International Journal of Production Research 60:4, pages 1284-1297.
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Wah Yen Tey, Yutaka Asako, Khai Ching Ng & Wei-Haur Lam. (2020) A review on development and applications of element-free galerkin methods in computational fluid dynamics. International Journal for Computational Methods in Engineering Science and Mechanics 21:5, pages 252-275.
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Shengyue Li & Zhaojie Zhou. (2018) Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation. International Journal of Computer Mathematics 95:6-7, pages 1308-1325.
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Zahra Eidinejad, Reza Saadati, Javad Vahidi & Chenkuan Li. (2023) Numerical solutions of 2D stochastic time‐fractional Sine–Gordon equation in the C aputo sense . International Journal of Numerical Modelling: Electronic Networks, Devices and Fields.
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Mohammad Shahbazi Asl, Mohammad Javidi & Yubin Yan. (2021) High order algorithms for numerical solution of fractional differential equations. Advances in Difference Equations 2021:1.
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M. S. Hashemi. (2020) Numerical study of the one-dimensional coupled nonlinear sine-Gordon equations by a novel geometric meshless method. Engineering with Computers 37:4, pages 3397-3407.
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Felix S. Bott & Michael W. Gee. (2020) A strong form based moving Kriging collocation method for the numerical solution of partial differential equations with mixed boundary conditions. International Journal for Numerical Methods in Engineering 122:3, pages 657-683.
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Alpesh Kumar & Akanksha Bhardwaj. (2020) A local meshless method for time fractional nonlinear diffusion wave equation. Numerical Algorithms 85:4, pages 1311-1334.
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Mohammad Ilati. (2020) A meshless local moving Kriging method for solving Ginzburg–Landau equation on irregular domains. The European Physical Journal Plus 135:11.
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O. Nikan, Z. Avazzadeh & J.A. Tenreiro Machado. (2020) Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Engineering Analysis with Boundary Elements 120, pages 223-237.
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Jufeng Wang & Fengxin Sun. (2020) A hybrid generalized interpolated element-free Galerkin method for Stokes problems. Engineering Analysis with Boundary Elements 111, pages 88-100.
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Tao Zhang & Xiaolin Li. (2020) Variational multiscale interpolating element-free Galerkin method for the nonlinear Darcy–Forchheimer model. Computers & Mathematics with Applications 79:2, pages 363-377.
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Jufeng Wang & Fengxin Sun. (2019) A Hybrid Variational Multiscale Element-Free Galerkin Method for Convection-Diffusion Problems. International Journal of Applied Mechanics 11:07, pages 1950063.
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Hadi Roohani Ghehsareh, Marzie Raei & Ali Zaghian. (2019) Application of meshless local Petrov–Galerkin technique to simulate two-dimensional time-fractional Tricomi-type problem. Journal of the Brazilian Society of Mechanical Sciences and Engineering 41:6.
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Haixiang Zhang, Xuehua Yang & Da Xu. (2018) A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. Numerical Algorithms 80:3, pages 849-877.
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Dhananjay Singh, Madhusudan Singh & Zaynidinov HakimjonDhananjay Singh, Madhusudan Singh & Zaynidinov Hakimjon. 2019. Signal Processing Applications Using Multidimensional Polynomial Splines. Signal Processing Applications Using Multidimensional Polynomial Splines 35 46 .
Rongjun Cheng, Fengxin Sun, Qi Wei & Jufeng Wang. (2018) Numerical treatment for solving two-dimensional space-fractional advection–dispersion equation using meshless method. Modern Physics Letters B 32:06, pages 1850073.
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Elyas Shivanian & Ahmad Jafarabadi. (2017) Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives: a stable scheme based on spectral meshless radial point interpolation. Engineering with Computers 34:1, pages 77-90.
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