An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7984 ◽

2021 ◽

Author(s):

Huifa Jiang ◽

Da Xu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Fourth Order ◽

Integro Differential Equation ◽

Exponential Transformation ◽

Single Exponential

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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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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 ◽

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

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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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A Cubic Legendre spline collocation method to solve Volterra-Fredholm integro differential equation

2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT) ◽

10.1109/iceeot.2016.7755069 ◽

2016 ◽

Author(s):

B. M. Pandya ◽

D.C. Joshi

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spline Collocation ◽

Spline Collocation Method ◽

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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Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.012 ◽

2014 ◽

Vol 81 ◽

pp. 15-29 ◽

Author(s):

Yunxia Wei ◽

Yanping Chen

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Integro Differential Equation

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A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09884-5 ◽

2021 ◽

Vol 47 (5) ◽

Author(s):

Leijie Qiao ◽

Da Xu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Integro Differential Equation ◽

Orthogonal Spline Collocation ◽

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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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