A formally second‐order backward differentiation formula Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation

Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125693 ◽

2021 ◽

Vol 392 ◽

pp. 125693

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Jing Guo

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Fourth Order ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.09.061 ◽

2005 ◽

Vol 182 (1) ◽

pp. 32-50 ◽

Cited By ~ 20

Author(s):

Ahniyaz Nurmuhammad ◽

Mayinur Muhammad ◽

Masatake Mori ◽

Masaaki Sugihara

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Collocation Method ◽

Fourth Order ◽

Boundary Value ◽

Order Ordinary Differential Equation ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

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 ◽

Cited By ~ 8

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 ◽

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 ◽

Sinc Methods ◽

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 ◽

Weakly Singular ◽

Spline Basis

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 ◽

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 ◽

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 ◽

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 ◽

Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.06.027 ◽

2020 ◽

Vol 79 (2) ◽

pp. 244-255 ◽

Cited By ~ 6

Author(s):

Jun Zhou ◽

Da Xu

Keyword(s):

Differential Equation ◽

Difference Scheme ◽

Singular Kernel ◽

Implicit Difference Scheme ◽

Weakly Singular Kernel ◽

Alternating Direction Implicit ◽

Weakly Singular ◽

Alternating Direction