A meshfree collocation method based on moving Taylor polynomial approximation for high order partial differential equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.04.002 ◽

2020 ◽

Vol 116 ◽

pp. 77-92

Author(s):

Xiaodong Wang ◽

Ying Liu ◽

Jie Ouyang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Polynomial Approximation ◽

Taylor Polynomial ◽

Partial Differential

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A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.032 ◽

2019 ◽

Vol 361 ◽

pp. 372-395 ◽

Author(s):

Kareem T. Elgindy

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

Domain Method ◽

Fourier Continuation ◽

Fourier Pseudospectral ◽

Predictor Corrector

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Chebyshev polynomial approximation for high-order partial differential equations with complicated conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20362 ◽

2009 ◽

Vol 25 (3) ◽

pp. 610-621 ◽

Author(s):

Aysegül Akyüz-Dascioglu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Chebyshev Polynomial ◽

Polynomial Approximation ◽

Partial Differential ◽

Chebyshev Polynomial Approximation ◽

Complicated Conditions

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Spectral collocation method for stochastic partial differential equations with fractional Brownian motion

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113369 ◽

2021 ◽

pp. 113369

Author(s):

Mahdieh Arezoomandan ◽

Ali R. Soheili

Keyword(s):

Brownian Motion ◽

Partial Differential Equations ◽

Differential Equations ◽

Fractional Brownian Motion ◽

Collocation Method ◽

Stochastic Partial Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential

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Taylor wavelet collocation method for Benjamin–Bona–Mahony partial differential equations

Results in Applied Mathematics ◽

10.1016/j.rinam.2020.100139 ◽

2021 ◽

Vol 9 ◽

pp. 100139

Author(s):

S.C. Shiralashetti ◽

S.I. Hanaji

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Partial Differential ◽

Wavelet Collocation Method

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On the solvability of nonlinear partial differential equations of a high order with deviating argument in lowest terms

Russian Mathematics ◽

10.3103/s1066369x16070021 ◽

2016 ◽

Vol 60 (7) ◽

pp. 7-13

Author(s):

O. I. Bzheumikhova ◽

V. N. Lesev

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Partial Differential ◽

Deviating Argument

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

SIAM Journal on Numerical Analysis ◽

10.1137/050645142 ◽

2007 ◽

Vol 45 (3) ◽

pp. 1005-1034 ◽

Author(s):

Ivo Babuška ◽

Fabio Nobile ◽

Raúl Tempone

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437260 ◽

2018 ◽

Vol 96 (3) ◽

pp. 500-536 ◽

Author(s):

Jun Liu ◽

Hui Guo ◽

Yao-Lin Jiang ◽

Yan Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Algorithms ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Partial Differential

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A Kernel-Based Collocation Method for Elliptic Partial Differential Equations With Random Coefficients

Monte Carlo and Quasi-Monte Carlo Methods 2012 - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-642-41095-6_14 ◽

2013 ◽

pp. 331-347 ◽

Author(s):

Gregory E. Fasshauer ◽

Qi Ye

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential

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Lattice Boltzmann model for high-order nonlinear partial differential equations

Physical Review E ◽

10.1103/physreve.97.013304 ◽

2018 ◽

Vol 97 (1) ◽

Author(s):

Zhenhua Chai ◽

Nanzhong He ◽

Zhaoli Guo ◽

Baochang Shi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lattice Boltzmann ◽

Nonlinear Partial Differential Equations ◽

Lattice Boltzmann Model ◽

Partial Differential ◽

Boltzmann Model

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Sinc–Muntz–Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542521120022 ◽

2021 ◽

Vol 61 (12) ◽

pp. 2024-2033

Author(s):

M. Shareef Ajeel ◽

M. Gachpazan ◽

Ali R. Soheili

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Legendre Collocation Method

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