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Solving one dimensional nonlinear coupled Burger's equations using high accuracy multiquadric quasi-interpolation

2020
Summary: In this paper a multiquadric quasi-interpolation (MQQI) scheme for solving the system of 1-D coupled nonlinear Burger's equations (CNBE) is presented. The scheme utilizes the derivative of the quasi-interpolation for approximating the spatial derivative and the Taylor series expansion for temporal derivatives.
Rahimi, Mahboobeh, Adibi, Hojatollah
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Numerical solution of one-dimensional Sine–Gordon equation using high accuracy multiquadric quasi-interpolation

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Zi-Wu, Wang, Ren-Hong
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A conservative scheme for two-dimensional Schrödinger equation based on multiquadric trigonometric quasi-interpolation approach

Applied Mathematics and Computation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A numerical method for one-dimensional nonlinear sine-Gordon equation using multiquadric quasi-interpolation

Chinese Physics B, 2009
In this paper, we use a univariate multiquadric quasi-interpolation scheme to solve the one-dimensional nonlinear sine-Gordon equation that is related to many physical phenomena. We obtain a numerical scheme by using the derivative of the quasi-interpolation to approximate the spatial derivative and a difierence scheme to approximate the temporal ...
Ma Li-Min, Wu Zong-Min
openaire   +1 more source

Numerical solution of time fractional partial differential equations using multiquadric quasi-interpolation scheme

European Journal of Computational Mechanics, 2018
In this paper, a meshfree method is presented to solve time fractional partial differential equations. It is based on the multiquadric quasi-interpolation operator LW2 . In the present scheme, quadrature formula is used to discretise the temporal Caputo fractional derivative of order α ∈ (0, 1] and the quasiinterpolation is used to approximate the ...
openaire   +1 more source

High accuracy quasi-interpolation using a new class of generalized multiquadrics

A new generalization of multiquadric functions phi ( x ) = root c(2d) + || x ||(2d) , where x is an element of R-n , c is an element of R, d is an element of N, is presented to increase the accuracy of quasi -interpolation further. With the restriction to Euclidean spaces of odd dimensionality, the generalization can be used to generate a quasi ...
Ortmann, Mathis   +2 more
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A Multivariate Multiquadric Quasi-Interpolation with Quadric Reproduction

Journal of Computational Mathematics, 2012
Renzhong Feng null, Xun Zhou
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