Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.01.157 ◽

2014 ◽

Vol 232 ◽

pp. 775-783 ◽

Author(s):

Qingqu Zhuang ◽

Quanwei Ren

Keyword(s):

Differential Equation ◽

Spectral Method ◽

Fourth Order ◽

Numerical Approximation ◽

Integro Differential Equation

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Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-021-00208-8 ◽

2021 ◽

Author(s):

Wensheng Wang

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Integro Differential Equation

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General Decay and Blow-Up Results for Nonlinear Fourth-Order Integro-Differential Equation

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-018-0298-z ◽

2018 ◽

Vol 49 (4) ◽

pp. 729-742

Author(s):

Mohammad Shahrouzi

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Blow Up ◽

General Decay ◽

Integro Differential Equation

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H1-Galerkin Mixed Element Method for Fourth-Order Parabolic Integro-Differential Equation

Advances in Applied Mathematics ◽

10.12677/aam.2016.53043 ◽

2016 ◽

Vol 05 (03) ◽

pp. 349-359

Author(s):

岩李

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Integro Differential Equation ◽

Mixed Element ◽

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Specific Asymptotic Stability of Solutions to a Linear Homogeneous Volterra Integro-Differential Equation of the Fourth Order

Moscow University Mathematics Bulletin ◽

10.3103/s0027132221010034 ◽

2021 ◽

Vol 76 (1) ◽

pp. 22-28

Author(s):

S. Iskandarov ◽

E. A. Komartsova

Keyword(s):

Differential Equation ◽

Asymptotic Stability ◽

Fourth Order ◽

Stability Of Solutions ◽

Integro Differential Equation

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On a Boundary-Value Problem for a Fourth-Order Partial Integro-Differential Equation with Degenerate Kernel

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04707-2 ◽

2020 ◽

Vol 245 (4) ◽

pp. 508-523

Author(s):

T. K. Yuldashev

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Fourth Order ◽

Boundary Value ◽

Degenerate Kernel ◽

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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Fully Petrov–Galerkin spectral method for the distributed-order time-fractional fourth-order partial differential equation

Engineering With Computers ◽

10.1007/s00366-020-00968-2 ◽

2020 ◽

Author(s):

Farhad Fakhar-Izadi

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Spectral Method ◽

Fourth Order ◽

Order Partial Differential Equation ◽

Partial Differential ◽

Galerkin Spectral Method ◽

Distributed Order

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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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Crank–Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel

Journal of Computational Physics ◽

10.1016/j.jcp.2012.09.037 ◽

2013 ◽

Vol 234 ◽

pp. 317-329 ◽

Author(s):

Xuehua Yang ◽

Da Xu ◽

Haixiang Zhang

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Weakly Singular ◽

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The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.09.011 ◽

2021 ◽

Vol 159 ◽

pp. 239-258 ◽

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Jing Guo

Keyword(s):

Differential Equation ◽

Galerkin Method ◽

Fourth Order ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Weakly Singular ◽

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