Space–time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.03.016 ◽

2014 ◽

Vol 67 (10) ◽

pp. 1884-1904 ◽

Author(s):

Farhad Fakhar-Izadi ◽

Mehdi Dehghan

Keyword(s):

Differential Equation ◽

Spectral Method ◽

Irregular Domains ◽

Integro Differential Equation ◽

Weakly Singular ◽

Time Spectral Method

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Multi-Domain Space-Time Spectral Method in Time for Solving Fifth-Order Partial Differential Equation

Pure Mathematics ◽

10.12677/pm.2021.116117 ◽

2021 ◽

Vol 11 (06) ◽

pp. 1031-1047

Author(s):

荣玉余

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Spectral Method ◽

Order Partial Differential Equation ◽

Partial Differential ◽

Domain Space ◽

Time Spectral Method ◽

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A Spectral Method for a Weakly Singular Volterra Integro-Differential Equation with Pantograph Delay

Acta Mathematica Scientia ◽

10.1007/s10473-022-0121-0 ◽

2021 ◽

Author(s):

Weishan Zheng ◽

Yanping Chen

Keyword(s):

Differential Equation ◽

Spectral Method ◽

Integro Differential Equation ◽

Weakly Singular

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A Spectral Method for Neutral Volterra Integro-Differential Equation with Weakly Singular Kernel

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2013.1125nm ◽

2013 ◽

Vol 6 (2) ◽

pp. 424-446 ◽

Author(s):

Yunxia Wei and Yanping Chen

Keyword(s):

Differential Equation ◽

Spectral Method ◽

Singular Kernel ◽

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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A space-time spectral method for multi-dimensional Sobolev equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124937 ◽

2021 ◽

Vol 499 (1) ◽

pp. 124937

Author(s):

Siqin Tang ◽

Hong Li ◽

Baoli Yin

Keyword(s):

Spectral Method ◽

Sobolev Equations ◽

Time Spectral Method

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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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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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A space-time lower–upper symmetric Gauss–Seidel scheme for the time-spectral method

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2016.1220551 ◽

2016 ◽

Vol 30 (5) ◽

pp. 337-355 ◽

Author(s):

Lei Zhan ◽

Juntao Xiong ◽

Feng Liu

Keyword(s):

Spectral Method ◽

Lower Upper ◽

Time Spectral Method

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A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives

Engineering With Computers ◽

10.1007/s00366-020-00936-w ◽

2020 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Difference ◽

Fractional Derivatives ◽

Partial Differential ◽

Weakly Singular

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