Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets

Engineering With Computers ◽

10.1007/s00366-020-00995-z ◽

2020 ◽

Cited By ~ 2

Author(s):

M. Hosseininia ◽

M. H. Heydari ◽

Z. Avazzadeh

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Numerical Study ◽

Variable Order ◽

Diffusion Wave ◽

Chebyshev Wavelets

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Orthonormal Bernstein polynomials for solving nonlinear variable‐order time fractional fourth‐order diffusion‐wave equation with nonsingular fractional derivative

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6483 ◽

2020 ◽

Cited By ~ 2

Author(s):

M. H. Heydari ◽

Z. Avazzadeh

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Fourth Order ◽

Bernstein Polynomials ◽

Variable Order ◽

Diffusion Wave

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A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.02.035 ◽

2019 ◽

Vol 350 ◽

pp. 154-168 ◽

Cited By ~ 22

Author(s):

Younes Shekari ◽

Ali Tayebi ◽

Mohammad Hossein Heydari

Keyword(s):

Wave Equation ◽

Nonlinear Diffusion ◽

Variable Order ◽

Diffusion Wave ◽

Nonlinear Diffusion Wave

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A computational method for solving variable-order fractional nonlinear diffusion-wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.01.075 ◽

2019 ◽

Vol 352 ◽

pp. 235-248 ◽

Cited By ~ 5

Author(s):

Mohammad Hossein Heydari ◽

Zakieh Avazzadeh ◽

Yin Yang

Keyword(s):

Wave Equation ◽

Nonlinear Diffusion ◽

Computational Method ◽

Variable Order ◽

Diffusion Wave ◽

Nonlinear Diffusion Wave

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Fourth-order numerical method for the space–time tempered fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2017.04.011 ◽

2017 ◽

Vol 73 ◽

pp. 120-127 ◽

Cited By ~ 44

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh ◽

Weihua Deng

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Fourth Order ◽

Fractional Diffusion ◽

Space Time ◽

Diffusion Wave

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Numerical Analysis for the Variable Order Time Fractional Diffusion-Wave Equation

2020 5th IEEE International Conference on Big Data Analytics (ICBDA) ◽

10.1109/icbda49040.2020.9101207 ◽

2020 ◽

Author(s):

Fupeng Tian

Keyword(s):

Wave Equation ◽

Numerical Analysis ◽

Fractional Diffusion ◽

Variable Order ◽

Diffusion Wave

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Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20308 ◽

2007 ◽

Vol 24 (4) ◽

pp. 1115-1126 ◽

Cited By ~ 24

Author(s):

Hossein Jafari ◽

Mehdi Dehghan ◽

Khosro Sayevand

Keyword(s):

Wave Equation ◽

Bounded Domain ◽

Fourth Order ◽

Decomposition Method ◽

Fractional Diffusion ◽

Diffusion Wave

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Fractional Variational Iteration Method for Time Fractional Fourth-Order Diffusion-Wave Equation

Mathematical Modelling, Applied Analysis and Computation - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-981-13-9608-3_11 ◽

2019 ◽

pp. 169-178

Author(s):

Amit Prakash ◽

Manoj Kumar

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Iteration Method ◽

Variational Iteration Method ◽

Diffusion Wave ◽

Variational Iteration

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Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124900 ◽

2020 ◽

Vol 369 ◽

pp. 124900 ◽

Cited By ~ 1

Author(s):

Sarita Nandal ◽

Dwijendra Narain Pandey

Keyword(s):

Wave Equation ◽

Time Delay ◽

Numerical Solution ◽

Fourth Order ◽

Diffusion Wave ◽

Non Linear

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A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1940977 ◽

2021 ◽

pp. 1-27

Author(s):

Khadijeh Sadri ◽

Hossein Aminikhah

Keyword(s):

Wave Equation ◽

Chebyshev Polynomials ◽

Efficient Algorithm ◽

Fractional Diffusion ◽

Variable Order ◽

Diffusion Wave

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An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation

Nonlinear Dynamics ◽

10.1007/s11071-017-3330-7 ◽

2017 ◽

Vol 88 (3) ◽

pp. 1587-1598 ◽

Cited By ~ 19

Author(s):

M. Sh. Dahaghin ◽

H. Hassani

Keyword(s):

Wave Equation ◽

Optimization Method ◽

Fractional Diffusion ◽

Variable Order ◽

Generalized Polynomials ◽

Diffusion Wave

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