Journal ArticleDOI
Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
TLDR
A numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two-dimensional sine-Gordon equation with Neumann boundary conditions and it is shown that the technique is easy to apply for multidimensional problems.About:
This article is published in Computer Physics Communications.The article was published on 2012-03-01. It has received 137 citations till now. The article focuses on the topics: Numerical stability & Numerical partial differential equations.read more
Citations
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Journal ArticleDOI
A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
TL;DR: A numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two dimensional hyperbolic telegraph equation with Dirichlet and Neumann boundary condition is proposed.
Journal ArticleDOI
A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation
TL;DR: A numerical scheme based on weighted average differential quadrature method is proposed to solve time dependent Burgers' equation with appropriate initial and boundary conditions and found that the proposed numerical scheme produce accurate results and quite easy to implement.
Journal ArticleDOI
The solitary wave solution of coupled Klein–Gordon–Zakharov equations via two different numerical methods
Mehdi Dehghan,Ahmad Nikpour +1 more
TL;DR: Two different methods to solve the coupled Klein–Gordon–Zakharov (KGZ) equations are proposed: the Differential Quadrature (DQ) and Globally Radial Basis Functions (GRBFs) methods.
Journal ArticleDOI
Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions
TL;DR: Two differential quadrature methods are proposed to find the approximate solution of one and two dimensional hyperbolic partial differential equations with Dirichlet and Neumann’s boundary conditions based on Lagrange interpolation and modified cubic B-splines respectively.
Journal ArticleDOI
The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
Mohammad Ilati,Mehdi Dehghan +1 more
TL;DR: In this article, the authors solved the one and two-dimensional time-dependent coupled sine-Gordon equations using RBFs collocation and RBF-QR methods and showed how one can overcome the ill-conditioning of coefficient matrix for the small shape parameters using RBF -QR method.
References
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Book
Differential Quadrature and Its Application in Engineering
TL;DR: A Differential Quadrature Hierarchical Finite Element Method (DQEEM) based on Bernstein Polynomials is proposed in this paper for the analysis of doubly-curvel shell structures.
Journal ArticleDOI
Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
TL;DR: In this article, the authors present a direct technique which can be applied in a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage and computer time.
Journal ArticleDOI
Elementary numerical analysis: an algorithmic approach (2nd edition), by S. D. Conte and Carl de Boor. Pp x, 396. £4·80 hard covers, £2·70 paperback. 1973 (McGraw-Hill)
TL;DR: Intended for introductory courses in numerical analysis, this book features a comprehensive treatment of major topics in this subject area using an algorithmic approach and provides numerous worked examples with computer output, and flowcharts and programs.
Book
Elementary Numerical Analysis: An Algorithmic Approach
Samuel Daniel Conte,Carl de Boor +1 more
TL;DR: In this article, a comprehensive treatment of major topics in numerical analysis is presented, using an algorithmic approach, providing numerous worked examples with computer output, and flowcharts and programs.
Journal ArticleDOI
Application of generalized differential quadrature to solve two-dimensional incompressible navier-stokes equations
Chang Shu,Bryan E. Richards +1 more
TL;DR: In this paper, a global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation.
Related Papers (5)
A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
Mehdi Dehghan,Ali Shokri +1 more