Integrated High Accuracy Multiquadric Quasi-interpolation Scheme for Solving the Nonlinear Klein-gordon Equation


Authors

Maryam Sarboland - Department of Mathematics, Saveh Branch, Islamic Azad University, P.O. Box: 39187-366, Saveh, Iran, Azim Aminataei - Faculty of Mathematics, Department of Applied Mathematics, K. N. Toosi University of Technology, P.O. Box: 15418-49611, Tehran, Iran.


Abstract

A collocation scheme based on the use of the multiquadric quasi-interpolation operator \(L_{w_2}\) , integrated radial basis function networks (IRBFNs) method and three order finite difference method is applied to the nonlinear Klein-Gordon equation. In the present scheme, the three order finite difference method is used to discretize the temporal derivative and the integrated form of the multiquadric quasi-interpolation scheme is used to approximate the unknown function and its spatial derivatives. Several numerical experiments are provided to show the efficiency and the accuracy of the given method.


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ISRP Style

Maryam Sarboland, Azim Aminataei, Integrated High Accuracy Multiquadric Quasi-interpolation Scheme for Solving the Nonlinear Klein-gordon Equation, Journal of Mathematics and Computer Science, 14 (2015), no. 4, 258-273

AMA Style

Sarboland Maryam, Aminataei Azim, Integrated High Accuracy Multiquadric Quasi-interpolation Scheme for Solving the Nonlinear Klein-gordon Equation. J Math Comput SCI-JM. (2015); 14(4):258-273

Chicago/Turabian Style

Sarboland, Maryam, Aminataei, Azim. "Integrated High Accuracy Multiquadric Quasi-interpolation Scheme for Solving the Nonlinear Klein-gordon Equation." Journal of Mathematics and Computer Science, 14, no. 4 (2015): 258-273


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