A Numerical Method For Space Fractional Diffusion Equations Using A Semi-disrete Scheme And Chebyshev Collocation Method

Journal of Mathematics and Computer Science ◽

10.22436/jmcs.08.03.05 ◽

2014 ◽

Vol 08 (03) ◽

pp. 226-235 ◽

Author(s):

Hadi Azizi ◽

Ghasem Barid Loghmani

Keyword(s):

Numerical Method ◽

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Chebyshev Collocation Method ◽

Fractional Diffusion Equations ◽

Chebyshev Collocation

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.015 ◽

2021 ◽

Vol 160 ◽

pp. 331-348

Author(s):

Jun Liu ◽

Chen Zhu ◽

Yanping Chen ◽

Hongfei Fu

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations ◽

Liouville Space ◽

Quadratic Spline Collocation

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Stability and convergence analysis of the quadratic spline collocation method for time-dependent fractional diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.046 ◽

2019 ◽

Vol 346 ◽

pp. 633-648 ◽

Author(s):

Jun Liu ◽

Hongfei Fu ◽

Xiaochao Chai ◽

Yanan Sun ◽

Hui Guo

Keyword(s):

Convergence Analysis ◽

Collocation Method ◽

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Equations ◽

Stability And Convergence ◽

Spline Collocation ◽

Quadratic Spline ◽

Fractional Diffusion Equations ◽

Quadratic Spline Collocation

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Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems

Journal of Vibration and Control ◽

10.1177/1077546316636282 ◽

2016 ◽

Vol 22 (9) ◽

pp. 2173-2186 ◽

Author(s):

K Sayevand ◽

A Yazdani ◽

F Arjang

Keyword(s):

Collocation Method ◽

Dynamic Systems ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations

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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation

International Journal of Analysis and Applications ◽

10.28924/2291-8639-16-2018-822 ◽

2018 ◽

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Modified Method

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Boundary Element Collocation Method for Time-Fractional Diffusion Equations

Integral Methods in Science and Engineering, Volume 2 ◽

10.1007/978-0-8176-4897-8_21 ◽

2009 ◽

pp. 223-232

Author(s):

J. Kemppainen ◽

K. Ruotsalainen

Keyword(s):

Boundary Element ◽

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.07.007 ◽

2018 ◽

Vol 134 ◽

pp. 66-80 ◽

Author(s):

S. Chen ◽

F. Liu ◽

I. Turner ◽

V. Anh

Keyword(s):

Numerical Method ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Bounded Region ◽

Fractional Diffusion Equations

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A fast linearized numerical method for nonlinear time-fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-020-00971-0 ◽

2020 ◽

Author(s):

Pin Lyu ◽

Seakweng Vong

Keyword(s):

Numerical Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-017-0272-6 ◽

2017 ◽

Vol 76 (3) ◽

pp. 605-616 ◽

Author(s):

Yun-Chi Huang ◽

Siu-Long Lei

Keyword(s):

Numerical Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Lower Triangular

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A numerical method for solving variable‐order fractional diffusion equations using fractional‐order Taylor wavelets

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22761 ◽

2021 ◽

Author(s):

Thieu N. Vo ◽

Mohsen Razzaghi ◽

Phan Thanh Toan

Keyword(s):

Numerical Method ◽

Fractional Order ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Variable Order ◽

Fractional Diffusion Equations

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Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.11.001 ◽

2017 ◽

Vol 114 ◽

pp. 108-123 ◽

Author(s):

Maria Luísa Morgado ◽

Magda Rebelo ◽

Luis L. Ferrás ◽

Neville J. Ford

Keyword(s):

Numerical Solution ◽

Collocation Method ◽

Diffusion Equations ◽

Chebyshev Collocation Method ◽

Chebyshev Collocation ◽

Distributed Order

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