A Walsh function method for a non-linear Volterra integral equation

DOI10.1016/S0016-0032(02)00052-2zbMath1023.65141OpenAlexW2065608552MaRDI QIDQ1811137

B. G. Sloss, W. F. Blyth

Publication date: 10 June 2003

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0016-0032(02)00052-2

zbMATH Keywords

convergencenumerical resultsWalsh functionsnonlinearVolterra integral equationsa priori error estimatesnonlinear Volterra integral equationswavelet packetsnumerical analysisforward Euler methodHaar functionsRademacher system

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (8)

Numerical solution of Volterra integral-algebraic equations using block pulse functions ⋮ Chebyshev polynomial solution of nonlinear integral equations ⋮ On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations ⋮ Improved Haar and Walsh functions over triangular domains ⋮ A collocation method based on roots of Chebyshev polynomial for solving Volterra integral equations of the second kind ⋮ An algorithm for solving linear Volterra integro-differential equations ⋮ A Chebyshev polynomial approach for linear Fredholm-Volterra integro-differential equations in the most general form ⋮ THE COMPUTATIONAL EFFICIENCY OF WALSH APPROXIMATION FOR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Cites Work

• A Walsh series direct method for solving variational problems
• Walsh operational matrices for fractional calculus and their application to distributed systems
• A pseudospectral Walsh function method
• Corrington's Walsh function method applied to a nonlinear integral equation
• A priori error estimates for Corrington's Walsh function method
• A state-space approach to Walsh series solution of linear systems
• A Remarkable Series of Orthogonal Functions (I)
• Walsh-fourier series and the concept of a derivative^†
• On the Walsh Functions
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