An exponential method to solve linear Fredholm–Volterra integro-differential equations and residual improvement

DOI10.3906/mat-1707-66zbMath1424.45018OpenAlexW2894377671WikidataQ115483990 ScholiaQ115483990MaRDI QIDQ5742823

Şuayip Yüzbaşı

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1707-66

zbMATH Keywords

collocation methodexponential polynomialsexponential solutionsFredholm-Volterra integro-differential equationsresidual improvementinitial boundary conditions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Fredholm integral equations (45B05) Volterra integral equations (45D05) Linear boundary value problems for ordinary differential equations (34B05) Theoretical approximation of solutions to integral equations (45L05)

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A performance assessment of an HDG method for second-order Fredholm integro-differential equation: existence-uniqueness and approximation ⋮ Lerch matrix collocation method for 2D and 3D Volterra type integral and second order partial integro differential equations together with an alternative error analysis and convergence criterion based on residual functions ⋮ A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Exponential spline for the numerical solutions of linear Fredholm integro-differential equations ⋮ Unnamed Item ⋮ A computational algorithm for simulating fractional order relaxation-oscillation equation ⋮ Exponential spline method for approximation solution of Fredholm integro-differential equation

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