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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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) ◽

Cited By ~ 1

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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Finite element approximation of a parabolic integro-differential equation with a weakly singular kernel

Mathematics of Computation ◽

10.1090/s0025-5718-1992-1122059-2 ◽

1992 ◽

Vol 58 (198) ◽

pp. 587-587 ◽

Cited By ~ 49

Author(s):

C. Chen ◽

V. Thom{ée ◽

L. B. Wahlbin

Keyword(s):

Differential Equation ◽

Finite Element ◽

Finite Element Approximation ◽

Singular Kernel ◽

Element Approximation ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

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 ◽

Spline Basis

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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 ◽

Cited By ~ 5

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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DIRECT SENSITIVITY COEFFICIENT METHOD FOR SOLVING TWO-DIMENSIONAL INVERSE HEAT CONDUCTION PROBLEMS BY FINITE-ELEMENT SCHEME

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407799508914958 ◽

1995 ◽

Vol 27 (3) ◽

pp. 291-307 ◽

Cited By ~ 24

Author(s):

A. A. Tseng ◽

T. C. Chen ◽

F. Z. Zhao

Keyword(s):

Finite Element ◽

Heat Conduction ◽

Sensitivity Coefficient ◽

Two Dimensional ◽

Inverse Heat Conduction ◽

Finite Element Scheme ◽

Element Scheme ◽

Direct Sensitivity ◽

Inverse Heat Conduction Problems ◽

Coefficient Method

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Two-dimensional numerical modeling of dam-break flow using a new TVD finite-element scheme

Journal of the Brazilian Society of Mechanical Sciences and Engineering ◽

10.1007/s40430-017-0776-y ◽

2017 ◽

Vol 39 (11) ◽

pp. 4393-4401 ◽

Cited By ~ 1

Author(s):

Omid Seyedashraf ◽

Ali Akbar Akhtari

Keyword(s):

Finite Element ◽

Numerical Modeling ◽

Dam Break ◽

Two Dimensional ◽

Finite Element Scheme ◽

Element Scheme ◽

Dam Break Flow

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Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.12.028 ◽

2019 ◽

Vol 356 ◽

pp. 314-328 ◽

Cited By ~ 19

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Element ◽

Finite Difference ◽

Error Estimate ◽

Fractional Derivatives ◽

Two Dimensional ◽

Partial Differential ◽

Finite Difference Technique ◽

Weakly Singular

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Fractional Crank–Nicolson–Galerkin finite element scheme for the time‐fractional nonlinear diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22399 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2056-2075 ◽

Cited By ~ 1

Author(s):

Dileep Kumar ◽

Sudhakar Chaudhary ◽

V.V.K. Srinivas Kumar

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Crank Nicolson

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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 ◽

Cited By ~ 5

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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