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International Journal of Computer Mathematics Volume 88, 2011 - Issue 2
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Section B

Numerical solution of the Sturm–Liouville problem with local RBF-based differential quadrature collocation method

Quan Shen School of Mathematical Science, Peking University, Beijing, 100871, ChinaCorrespondence[email protected]
Pages 285-295 | Received 05 Jan 2009, Accepted 25 Sep 2009, Published online: 26 Nov 2010

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Ahmad Shirzadi. (2017) Numerical solutions of 3D Cauchy problems of elliptic operators in cylindrical domain using local weak equations and radial basis functions. International Journal of Computer Mathematics 94:2, pages 252-262.
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Articles from other publishers (11)

Kamran, Gohar Ali & J.F. Gómez-Aguilar. (2020) Approximation of partial integro differential equations with a weakly singular kernel using local meshless method. Alexandria Engineering Journal 59:4, pages 2091-2100.
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Imtiaz Ahmad, Muhammad Ahsan, Iltaf Hussain, Poom Kumam & Wiyada Kumam. (2019) Numerical Simulation of PDEs by Local Meshless Differential Quadrature Collocation Method. Symmetry 11:3, pages 394.
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Siraj-ul-Islam & Imtiaz Ahmad. (2017) Local meshless method for PDEs arising from models of wound healing. Applied Mathematical Modelling 48, pages 688-710.
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Imtiaz Ahmad, Siraj-ul-Islam & Abdul Q.M. Khaliq. (2017) Local RBF method for multi-dimensional partial differential equations. Computers & Mathematics with Applications 74:2, pages 292-324.
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Viviana Palacio-Betancur, Stiven Villada-Gil, Juan J. de Pablo & Juan P. Hernández-Ortiz. (2017) Educating local radial basis functions using the highest gradient of interest in three dimensional geometries. International Journal for Numerical Methods in Engineering 110:7, pages 603-617.
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Siraj-ul-Islam & Imtiaz Ahmad. (2016) A comparative analysis of local meshless formulation for multi-asset option models. Engineering Analysis with Boundary Elements 65, pages 159-176.
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Siraj-ul- Islam & Rahim Zaman. (2016) A computational modeling and simulation of spatial dynamics in biological systems. Applied Mathematical Modelling 40:7-8, pages 4524-4542.
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Ahmad Shirzadi. (2014) Solving 2D Reaction-Diffusion Equations with Nonlocal Boundary Conditions by the RBF-MLPG Method. Computational Mathematics and Modeling 25:4, pages 521-529.
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Mehdi Dehghan & Ahmad Nikpour. (2013) Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method. Applied Mathematical Modelling 37:18-19, pages 8578-8599.
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Scott A. Sarra. (2012) A local radial basis function method for advection–diffusion–reaction equations on complexly shaped domains. Applied Mathematics and Computation 218:19, pages 9853-9865.
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R. Mokhtari, A. Samadi Toodar & N.G. Chegini. (2011) Application of the Generalized Differential Quadrature Method in Solving Burgers' Equations. Communications in Theoretical Physics 56:6, pages 1009-1015.
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