An application of rationalized Haar functions for variational problems

DOI10.1016/S0096-3003(00)00050-3zbMath1020.49026WikidataQ127185921 ScholiaQ127185921MaRDI QIDQ1855032

Mohsen Razzaghi, Yadollah Ordokhani

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

algebraic equationsvariational problemsdirect methodsorthogonal functionsrationalized Haar functions

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Discrete approximations in optimal control (49M25)

Related Items (18)

Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via rationalized Haar functions ⋮ Numerical solution of nonlinear fractional integro-differential equations by hybrid functions ⋮ Pseudospectral methods based on nonclassical orthogonal polynomials for solving nonlinear variational problems ⋮ A wavelet based rationalized approach for the numerical solution of differential and integral equations ⋮ The numerical solution of problems in calculus of variation using Chebyshev finite difference method ⋮ Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations ⋮ Composite spectral functions for solving Volterra's population model ⋮ The use of He's variational iteration method for solving variational problems ⋮ A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization ⋮ Solution of differential equations via rationalized Haar functions ⋮ Direct Walsh-wavelet packet method for variational problems ⋮ Solving variational problems by homotopy–perturbation method ⋮ Numerical Solution of Linear Time-Varying Differential Equations using the Hybrid of Block-pulse and Rationalized Haar Functions ⋮ Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations ⋮ Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation ⋮ Unnamed Item ⋮ Solution of population balance equations via rationalized Haar functions ⋮ Solution of Volterra's population model via block‐pulse functions and Lagrange‐interpolating polynomials

Cites Work

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• Solutions of convolution integral and Fredholm integral equations via double Fourier series
• Shifted Chebyshev direct method for solving variational problems
• Fourier series direct method for variational problems
• An application of rationalized Haar functions to solution of linear differential equations

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