Fitted Galerkin spectral method to solve delay partial differential equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3756 ◽

2015 ◽

Vol 39 (11) ◽

pp. 3102-3115

Author(s):

A. M. A. Adam ◽

E. B. M. Bashier ◽

M. H. A. Hashim ◽

K. C. Patidar

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Spectral Method ◽

Partial Differential ◽

Delay Partial Differential Equations ◽

Galerkin Spectral Method

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A Unified Petrov–Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00070-w ◽

2020 ◽

Author(s):

Mehdi Samiee ◽

Ehsan Kharazmi ◽

Mark M. Meerschaert ◽

Mohsen Zayernouri

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Spectral Method ◽

Partial Differential ◽

Fast Solver ◽

Galerkin Spectral Method ◽

Distributed Order

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The exponential stability of neutral stochastic delay partial differential equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2007.18.295 ◽

2007 ◽

Vol 18 (2/3, June) ◽

pp. 295-313 ◽

Author(s):

T. Taniguchi ◽

José Real ◽

Tomás Caraballo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Exponential Stability ◽

Partial Differential ◽

Stochastic Delay ◽

Delay Partial Differential Equations

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Oscillation for systems of higher-order neutral type delay partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.07.030 ◽

2004 ◽

Vol 156 (1) ◽

pp. 107-114 ◽

Author(s):

Wen-Xian Lin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Neutral Type ◽

Higher Order ◽

Partial Differential ◽

Neutral Type Delay ◽

Delay Partial Differential Equations

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Numerical Analysis of Nonlinear Partial Differential Equations by Fourier Spectral Method

PROCEEDINGS OF HYDRAULIC ENGINEERING ◽

10.2208/prohe.37.757 ◽

1993 ◽

Vol 37 ◽

pp. 757-761

Author(s):

Yukio KONO ◽

Fumihiko IMAMURA

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Differential Equations ◽

Spectral Method ◽

Nonlinear Partial Differential Equations ◽

Fourier Spectral Method ◽

Partial Differential

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Generalized Hermite Approximations and Spectral Method for Partial Differential Equations in Multiple Dimensions

Journal of Scientific Computing ◽

10.1007/s10915-013-9703-2 ◽

2013 ◽

Vol 57 (2) ◽

pp. 229-253 ◽

Author(s):

Xin-min Xiang ◽

Zhong-qing Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Spectral Method ◽

Partial Differential ◽

Multiple Dimensions

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Time-Dependent Neutral Stochastic Delay Partial Differential Equations Driven by Rosenblatt Process in Hilbert Space

Recent Advances in Intuitionistic Fuzzy Logic Systems - Studies in Fuzziness and Soft Computing ◽

10.1007/978-3-030-02155-9_24 ◽

2018 ◽

pp. 301-320

Author(s):

E. Lakhel ◽

A. Tlidi

Keyword(s):

Hilbert Space ◽

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Partial Differential ◽

Stochastic Delay ◽

Rosenblatt Process ◽

Delay Partial Differential Equations

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Delay-partial differential equations with some large diffusion

Nonlinear Analysis ◽

10.1016/0362-546x(94)90228-3 ◽

1994 ◽

Vol 22 (9) ◽

pp. 1057-1095 ◽

Author(s):

Alexandre N. Carvalho ◽

Luiz Augusto F. Oliveira

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Delay Partial Differential Equations ◽

Large Diffusion

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Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.04.021 ◽

2006 ◽

Vol 56 (3-4) ◽

pp. 433-443 ◽

Author(s):

Z. Jackiewicz ◽

B. Zubik-Kowal

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Waveform Relaxation ◽

Spectral Collocation ◽

Partial Differential ◽

Relaxation Methods ◽

Delay Partial Differential Equations ◽

Nonlinear Delay

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On the Existence and Uniqueness of Solutions to Delay Partial Differential Equations with Uncertainty

2021 7th International Conference on Optimization and Applications (ICOA) ◽

10.1109/icoa51614.2021.9442626 ◽

2021 ◽

Author(s):

Bouchra Ben Amma ◽

Said Melliani ◽

Lalla Saadia Chadli

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Existence And Uniqueness ◽

Uniqueness Of Solutions ◽

Partial Differential ◽

Delay Partial Differential Equations

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Numerical method for singularly perturbed delay parabolic partial differential equations

Thermal Science ◽

10.2298/tsci160615040w ◽

2017 ◽

Vol 21 (4) ◽

pp. 1595-1599 ◽

Author(s):

Yulan Wang ◽

Dan Tian ◽

Zhiyuan Li

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Present Method ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Numerical Examples ◽

Barycentric Interpolation ◽

Delay Partial Differential Equations

The barycentric interpolation collocation method is discussed in this paper, which is not valid for singularly perturbed delay partial differential equations. A modified version is proposed to overcome this disadvantage. Two numerical examples are provided to show the effectiveness of the present method.

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