Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type

DOI10.1016/j.mcm.2008.03.016zbMath1165.65366OpenAlexW2013232004MaRDI QIDQ2389891

Azim Aminataei, Solat Karimi Vanani

Publication date: 20 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.03.016

zbMATH Keywords

error analysisdelay differential systemsmultiquadric approximation schemeneutral delay differential systemsstability of the methodrun time of computations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items (7)

Numerical solution of Poisson's equation using a combination of logarithmic and multiquadric radial basis function networks ⋮ Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials ⋮ Optimal homotopy asymptotic method for solving delay differential equations ⋮ Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation ⋮ Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations ⋮ Application of the hybrid functions to solve neutral delay functional differential equations ⋮ Multiquadric quasi‐interpolation methods for solving partial differential algebraic equations

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Miscellaneous error bounds for multiquadric and related interpolators
• Introduction to functional differential equations
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Scattered Data Interpolation: Tests of Some Method
• A numerical method for heat transfer problems using collocation and radial basis functions
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• Numerical Methods for Delay Differential Equations
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