Results 1 to 10 of about 38,864 (199)
A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels [PDF]
HeliyonVolterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation ...
Khadijeh Sadri +4 more
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Fractal and FractionalA novel numerical scheme based on the Bell wavelets is proposed to obtain numerical solutions of the fractional integro-differential equations with weakly singular kernels.
Yanxin Wang, Xiaofang Zhou
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Fractal and Fractional, 2021 We consider general linear multi-term Caputo fractional integro-differential equations with weakly singular kernels subject to local or non-local boundary conditions.
Arvet Pedas, Mikk Vikerpuur
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Interpolation method for evaluating weakly singular kernels
Journal of Mathematical and Computational Science, 2021 The solution of initial, boundary, and mixed value problems through the integral equation method yields certain boundary singular integral equations.
E. Shoukralla
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Axioms, 2022 This paper is concerned with numerical solutions to Volterra integro-differential equations with weakly singular kernels. Making use of the transformed fractional Jacobi polynomials, we develop a class of piecewise fractional Galerkin methods for solving
Haiyang Li, Junjie Ma
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Fractal and Fractional, 2021 In this paper, by means of the second Chebyshev wavelet and its operational matrix, we solve a system of fractional-order Volterra–Fredholm integro-differential equations with weakly singular kernels.
Esmail Bargamadi +3 more
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Singularly perturbed Volterra integral equations with weakly singular kernels [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay ...
Angelina Bijura
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Symmetry, 2020 In this study, we present a spectral method for solving nonlinear Volterra integral equations with weakly singular kernels based on the Genocchi polynomials.
Elham Hashemizadeh +2 more
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Fractal and Fractional, 2021 In the present work, the numerical solution of fractional delay integro-differential equations (FDIDEs) with weakly singular kernels is addressed by designing a Vieta–Fibonacci collocation method.
Khadijeh Sadri +4 more
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A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels [PDF]
SIAM Journal on Numerical Analysis, 2003 This paper presents a new hybrid collocation method for solving certain second kind Volterra integral equations with singular kernels. The solution of the equation has a singularity, caused by the singularity in the kernel, and this presents particular challenges for numerical schemes.
Yanzhao Cao, Yuesheng Xu
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