Legendre spectral element method for solving Volterra-integro differential equations

Results in Applied Mathematics ◽

10.1016/j.rinam.2020.100116 ◽

2020 ◽

Vol 7 ◽

pp. 100116

Author(s):

Mahmoud Lotfi ◽

Amjad Alipanah

Keyword(s):

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Legendre Spectral Element Method ◽

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A laguerre-legendre spectral-element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2005.05.010 ◽

2005 ◽

Vol 41 (10) ◽

pp. 1171-1192 ◽

Author(s):

J. Valenciano ◽

M.A.J. Chaplain

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Tumour Angiogenesis ◽

Partial Differential ◽

Infinite Domains ◽

Angiogenesis Factors ◽

Legendre Spectral Element Method ◽

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Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22531 ◽

2020 ◽

Vol 37 (1) ◽

pp. 360-382

Author(s):

Mehdi Dehghan ◽

Nasim Shafieeabyaneh ◽

Mostafa Abbaszadeh

Keyword(s):

Spectral Element Method ◽

Burgers Equation ◽

Spectral Element ◽

Legendre Spectral Element Method ◽

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A Legendre spectral element method for the Stefan problem

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620241204 ◽

1987 ◽

Vol 24 (12) ◽

pp. 2273-2299 ◽

Author(s):

Einar M. Rønquist ◽

Anthony T. Patera

Keyword(s):

Stefan Problem ◽

Spectral Element Method ◽

Spectral Element ◽

Legendre Spectral Element Method ◽

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Spectral element method with geometric mesh for two-sided fractional differential equations

Advances in Computational Mathematics ◽

10.1007/s10444-017-9561-9 ◽

2017 ◽

Vol 44 (3) ◽

pp. 745-771 ◽

Author(s):

Zhiping Mao ◽

Jie Shen

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Geometric Mesh ◽

Fractional Differential ◽

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A Legendre spectral-element method for the one-dimensional fourth-order equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.08.107 ◽

2011 ◽

Vol 218 (7) ◽

pp. 3587-3595 ◽

Author(s):

Qingqu Zhuang

Keyword(s):

Fourth Order ◽

Spectral Element Method ◽

Spectral Element ◽

One Dimensional ◽

Legendre Spectral Element Method ◽

The One ◽

Fourth Order Equations ◽

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Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.10.036 ◽

2016 ◽

Vol 40 (5-6) ◽

pp. 3635-3654 ◽

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh ◽

Akbar Mohebbi

Keyword(s):

Diffusion Equation ◽

Spectral Element Method ◽

Spectral Element ◽

Legendre Spectral Element Method ◽

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Stability of delay integro-differential equations using a spectral element method

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.06.009 ◽

2011 ◽

Vol 54 (9-10) ◽

pp. 2493-2503 ◽

Author(s):

Firas A. Khasawneh ◽

Brian P. Mann

Keyword(s):

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

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High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112722 ◽

2020 ◽

Vol 372 ◽

pp. 112722

Author(s):

Kareem T. Elgindy ◽

Hareth M. Refat

Keyword(s):

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Singularly Perturbed ◽

Optimization Strategy ◽

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Computations of aeroacoustic solutions by a Legendre spectral element method

10.2514/6.1999-1944 ◽

1999 ◽

Author(s):

W. Lin ◽

A. Hadid ◽

E. Ascoli ◽

A. Darian

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Legendre Spectral Element Method ◽

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A Fourier–Legendre spectral element method in polar coordinates

Journal of Computational Physics ◽

10.1016/j.jcp.2011.10.003 ◽

2012 ◽

Vol 231 (2) ◽

pp. 666-675 ◽

Author(s):

Zhouhua Qiu ◽

Zhong Zeng ◽

Huan Mei ◽

Liang Li ◽

Liping Yao ◽

...

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Polar Coordinates ◽

Legendre Spectral Element Method ◽

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