A new nonlinear integral inequality of Wendroff type with continuous and weakly singular kernel and its application

Journal of Mathematical Inequalities ◽

10.7153/jmi-06-36 ◽

2012 ◽

pp. 367-379 ◽

Author(s):

Fahim Lakhal

Keyword(s):

Integral Inequality ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Nonlinear Integral Inequality ◽

Weakly Singular

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Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.01.012 ◽

2013 ◽

Vol 219 (12) ◽

pp. 6565-6575 ◽

Author(s):

Haixiang Zhang ◽

Xuli Han ◽

Xuehua Yang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Fourth Order ◽

Singular Kernel ◽

Spline Collocation ◽

Weakly Singular Kernel ◽

B Spline ◽

Spline Collocation Method ◽

Weakly Singular

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Numerical solution of partial integro-differential equation with a weakly singular kernel based on sinc methods

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.014 ◽

2021 ◽

Author(s):

Da Xu

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Sinc Methods ◽

Weakly Singular

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Orthogonal cubic spline basis and its applications to a partial integro-differential equation with a weakly singular kernel

Computational and Applied Mathematics ◽

10.1007/s40314-021-01442-5 ◽

2021 ◽

Vol 40 (2) ◽

Author(s):

J. Alavi ◽

H. Aminikhah

Keyword(s):

Differential Equation ◽

Cubic Spline ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Weakly Singular ◽

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Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4549 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7627-7639 ◽

Author(s):

Akbar Mohebbi

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Integro Differential Equation ◽

Weakly Singular

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Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107856 ◽

2021 ◽

pp. 107856

Author(s):

Manas Bhatnagar ◽

Hailiang Liu

Keyword(s):

Singular Kernel ◽

Global Dynamics ◽

Weakly Singular Kernel ◽

One Dimensional ◽

Weakly Singular ◽

Alignment System ◽

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Fifth order of non-polynomial spline functions to find a second type integral numerical solution linear Volterra with weakly singular kernel

Journal of Physics Conference Series ◽

10.1088/1742-6596/1892/1/012022 ◽

2021 ◽

Vol 1892 (1) ◽

pp. 012022

Author(s):

Ahmed Sh. Hamad

Keyword(s):

Numerical Solution ◽

Polynomial Spline ◽

Singular Kernel ◽

Spline Functions ◽

Weakly Singular Kernel ◽

Weakly Singular ◽

Type Integral ◽

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ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01609-7 ◽

2021 ◽

Author(s):

Biao Yang ◽

Haixiang Zhang ◽

Xuehua Yang ◽

Liang Tang

Keyword(s):

Differential Equation ◽

Finite Element ◽

Singular Kernel ◽

Two Dimensional ◽

Finite Element Scheme ◽

Weakly Singular Kernel ◽

Galerkin Finite Element ◽

Element Scheme ◽

Weakly Singular

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New spectral element method for Volterra integral equations with weakly singular kernel

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113902 ◽

2021 ◽

pp. 113902

Author(s):

Chao Zhang ◽

Zhipeng Liu ◽

Sheng Chen ◽

DongYa Tao

Keyword(s):

Integral Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Volterra Integral Equations ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Weakly Singular ◽

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An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.02.022 ◽

2019 ◽

Vol 354 ◽

pp. 103-114 ◽

Author(s):

Leijie Qiao ◽

Da Xu ◽

Zhibo Wang

Keyword(s):

Differential Equation ◽

Difference Scheme ◽

Trapezoidal Rule ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Weakly Singular

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Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel

Computational and Applied Mathematics ◽

10.1007/s40314-019-0807-7 ◽

2019 ◽

Vol 38 (2) ◽

Author(s):

Jun Zhou ◽

Da Xu ◽

Xiuxiu Dai

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Singular Kernel ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Weakly Singular Kernel ◽

Galerkin Finite Element ◽

Integro Differential Equation ◽

Weakly Singular

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