Legendre spectral method for the fractional Bratu problem

Harendra Singh; Fahimeh Akhavan Ghassabzadeh; Emran Tohidi; Carlo Cattani

doi:10.1002/mma.6334

Legendre spectral method for the fractional Bratu problem

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6334 ◽

2020 ◽

Vol 43 (9) ◽

pp. 5941-5952 ◽

Cited By ~ 9

Author(s):

Harendra Singh ◽

Fahimeh Akhavan Ghassabzadeh ◽

Emran Tohidi ◽

Carlo Cattani

Keyword(s):

Spectral Method ◽

Legendre Spectral Method ◽

Bratu Problem

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Galerkin–Legendre spectral method for Neumann boundary value problems in three dimensions

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1486398 ◽

2018 ◽

Vol 96 (7) ◽

pp. 1335-1356 ◽

Cited By ~ 1

Author(s):

Tian-jun Wang ◽

Tao Sun

Keyword(s):

Boundary Value Problems ◽

Spectral Method ◽

Boundary Value ◽

Neumann Boundary ◽

Three Dimensions ◽

Legendre Spectral Method ◽

Neumann Boundary Value Problems

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Convergence analysis of the Chebyshev–Legendre spectral method for a class of Fredholm fractional integro-differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.02.022 ◽

2019 ◽

Vol 358 ◽

pp. 97-110 ◽

Cited By ~ 1

Author(s):

A. Yousefi ◽

S. Javadi ◽

E. Babolian ◽

E. Moradi

Keyword(s):

Differential Equations ◽

Convergence Analysis ◽

Spectral Method ◽

Legendre Spectral Method

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Galerkin‐Legendre spectral method for the nonlinear Ginzburg‐Landau equation with the Riesz fractional derivative

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5852 ◽

2019 ◽

Cited By ~ 2

Author(s):

Mingfa Fei ◽

Chengming Huang ◽

Nan Wang ◽

Guoyu Zhang

Keyword(s):

Fractional Derivative ◽

Spectral Method ◽

Landau Equation ◽

Riesz Fractional Derivative ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Legendre Spectral Method

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Chebyshev-Legendre spectral method for solving the two-dimensional vorticity equations with homogeneous Dirichlet conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20371 ◽

2009 ◽

Vol 25 (3) ◽

pp. 740-755 ◽

Cited By ~ 3

Author(s):

Hua Wu ◽

Heping Ma ◽

Huiyuan Li

Keyword(s):

Spectral Method ◽

Two Dimensional ◽

Dirichlet Conditions ◽

Vorticity Equations ◽

Legendre Spectral Method

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Legendre spectral method for solving mixed boundary value problems on rectangle

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3827 ◽

2016 ◽

Vol 39 (13) ◽

pp. 3824-3835 ◽

Cited By ~ 2

Author(s):

Tian-jun Wang

Keyword(s):

Boundary Value Problems ◽

Spectral Method ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Value Problems ◽

Legendre Spectral Method

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Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126138 ◽

2021 ◽

Vol 402 ◽

pp. 126138

Author(s):

Xiaoqing Chi ◽

Xiaoyun Jiang

Keyword(s):

Finite Difference ◽

Spectral Method ◽

Two Dimensional ◽

Infinite Domain ◽

Legendre Spectral Method

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Galerkin–Legendre spectral method for the velocity and thermal boundary layers over a non-linearly stretching sheet

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.01.018 ◽

2010 ◽

Vol 11 (2) ◽

pp. 735-741 ◽

Cited By ~ 13

Author(s):

F. Talay Akyildiz ◽

Dennis A. Siginer

Keyword(s):

Spectral Method ◽

Boundary Layers ◽

Stretching Sheet ◽

Legendre Spectral Method ◽

Thermal Boundary Layers

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Galerkin–Legendre Spectral Method for the 3D Helmholtz Equation

Journal of Computational Physics ◽

10.1006/jcph.2000.6504 ◽

2000 ◽

Vol 161 (2) ◽

pp. 454-483 ◽

Cited By ~ 13

Author(s):

F. Auteri ◽

L. Quartapelle

Keyword(s):

Helmholtz Equation ◽

Spectral Method ◽

Legendre Spectral Method

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On using a modified Legendre-spectral method for solving singular IVPs of Lane–Emden type

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.07.056 ◽

2010 ◽

Vol 60 (7) ◽

pp. 2126-2130 ◽

Cited By ~ 21

Author(s):

H. Adibi ◽

A.M. Rismani

Keyword(s):

Spectral Method ◽

Legendre Spectral Method

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Finite difference and Legendre spectral method for a time-fractional diffusion-convection equation for image restoration

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018007 ◽

2018 ◽

Vol 11 (1) ◽

pp. 103-117 ◽

Cited By ~ 8

Author(s):

Moulay Rchid Sidi Ammi ◽

◽

Ismail Jamiai

Keyword(s):

Finite Difference ◽

Image Restoration ◽

Spectral Method ◽

Fractional Diffusion ◽

Convection Equation ◽

Legendre Spectral Method ◽

Diffusion Convection

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