Results 11 to 20 of about 1,048,002 (287)

Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation [PDF]

Abstract and Applied Analysis, 2013
Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application
Kelong Zheng, Wenqiang Feng, Chunxiang Guo   +2 more
doaj   +2 more sources

Sinc Collocation Method to Simulate the Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

Axioms, 2023
In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel.
Mingzhu Li, Lijuan Chen, Yongtao Zhou
doaj   +2 more sources

RBFs for Integral Equations with a Weakly Singular Kernel [PDF]

American Journal of Applied Mathematics, 2015
In this paper a numerical method, based on collocation method and radial basis functions (RBF) is proposed for solving integral equations with a weakly singular kernel. Integrals appeared in the procedure of the solution are approximated by adaptive Lobatto quadrature rule.
Jafar Biazar
openaire   +2 more sources

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

International Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
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Convergence Analysis of the Tau Method for Volterra–Fredholm Integrodifferential Equations With Weakly Singular Kernel

Journal of Applied Mathematics
This work focuses on the analysis of the Volterra–Fredholm integral equation (VFIE) with a weakly singular kernel, which is a transformed form of a partial integrodifferential equation (PIDE) with a weakly singular kernel. We present an approach based on
Javad Shokri, Saeed Pishbin, Ahmed M. Rajab   +2 more
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New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems [PDF]

Journal of Applied Mathematics, 2014
Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to ...
Jing Shao
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A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar, A. Aasaraai, M. B. Mehrlatifan   +2 more
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]

, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann, Schoetzau, D, Mustapha, Kassem, Mustapha, Hussein   +3 more
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Stability and covergence properties of Bergman Kernel methods for numerical conformal mapping [PDF]

, 1984
In this paper we study the stability and convergence properties of Bergman kernel methods, for the numerical conform al mapping of simply and doubly- connected domains.
Warby, M K, Papamichael, N
core   +6 more sources

A Galerkin-like approach to solve high-order integrodifferential equations with weakly singular kernel [PDF]

Kuwait Journal of Science, 2016
In this study, a Galerkin-like approach is applied to numerically solve high-orderintegro-differential equations having weakly singular kernel. The method includestaking inner product of a set of monomials with a vector obtained from the equationin ...
Şuayip Yüzbaşı, Murat Karaçayır
doaj   +1 more source