Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.11.012 ◽

2017 ◽

Vol 298 ◽

pp. 310-321 ◽

Author(s):

Somveer Singh ◽

Vijay Kumar Patel ◽

Vineet Kumar Singh ◽

Emran Tohidi

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Operational Matrices ◽

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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Cubic B-spline for the Numerical Solution of Parabolic Integro-differential Equation with a Weakly Singular Kernel

Research Journal of Applied Sciences Engineering and Technology ◽

10.19026/rjaset.7.500 ◽

2014 ◽

Vol 7 (10) ◽

pp. 2065-2073 ◽

Author(s):

Shahid S. Siddiqi ◽

Saima Arshed

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

B Spline ◽

Integro Differential Equation ◽

Weakly Singular

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WELL-POSEDNESS AND NUMERICAL SOLUTION OF A NONLINEAR VOLTERRA PARTIAL INTEGRO-DIFFERENTIAL EQUATION MODELING A SWELLING POROUS MATERIAL

Journal of Porous Media ◽

10.1615/jpormedia.v17.i9.20 ◽

2014 ◽

Vol 17 (9) ◽

pp. 763-784 ◽

Author(s):

Keith J. Wojciechowski ◽

Jinhai Chen ◽

Lynn Schreyer-Bennethum ◽

Kristian Sandberg

Keyword(s):

Differential Equation ◽

Porous Material ◽

Numerical Solution ◽

Equation Modeling ◽

Well Posedness ◽

Integro Differential Equation ◽

Differential Equation Modeling

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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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Numerical Solution of Volterra Integro–Differential Equation Using 6th Order Runge-Kutta Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1818/1/012183 ◽

2021 ◽

Vol 1818 (1) ◽

pp. 012183

Author(s):

A. F. Al-Shimmary ◽

A. K. Hussain ◽

S.K. Radhi

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Kutta Method ◽

Integro Differential Equation ◽

Runge Kutta Method ◽

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Numerical solution of a singular integro-differential equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.04.103 ◽

2008 ◽

Vol 195 (1) ◽

pp. 346-350 ◽

Author(s):

Subhra Bhattacharya ◽

B.N. Mandal

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Integro Differential Equation

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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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Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2003.09.001 ◽

2003 ◽

Vol 192 (51-52) ◽

pp. 5285-5304 ◽

Author(s):

Klas Adolfsson ◽

Mikael Enelund ◽

Stig Larsson

Keyword(s):

Differential Equation ◽

Convolution Kernel ◽

Integro Differential Equation ◽

Weakly Singular ◽

Adaptive Discretization

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Numerical solution of linear integro-differential equation by using modified Haar wavelets

Hacettepe Journal of Mathematics and Statistics ◽

10.15672/hjms.20164515687 ◽

2016 ◽

Vol 5 (45) ◽

Author(s):

Khaireddine Fernane

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Haar Wavelets ◽

Integro Differential Equation

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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 ◽

Integro Differential Equation ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

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