A Multiquadric Interpolation Method for Solving Initial Value Problems

Authors:
Y. C. Hon;X. Z. Mao
Affiliations:
Department of Mathematics, City University of Hong Kong, Hong Kong;Zhejiang Provincial Institute of Estuarine and Coastal Engineering Research, China
Venue:
Journal of Scientific Computing
Year:
1997

Citing 2
Cited 3

An iterative multistep formula for solving initial value problems

Journal of Scientific Computing
On a method of Atkinson for evaluating domain integrals in the boundary element method

Applied Mathematics and Computation

Radial basis function meshless method for the steady incompressible Navier-Stokes equations

International Journal of Computer Mathematics
A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity

Journal of Computational and Applied Mathematics
Multiquadric collocation method with integralformulation for boundary layer problems

Computers & Mathematics with Applications

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Abstract

In this paper, an interpolation method for solving linear differential equations was developed using multiquadric scheme. Unlike most iterative formula, this method provides a global interpolation formula for the solution. Numerical examples show that this method offers a higher degree of accuracy than Runge-Kutta formula and the iterative multistep methods developed by Hyman (1978).