Numerical Studies for Variable Order Linear and Nonlinear Fractional Cable Equation

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2015.4680 ◽

2015 ◽

Vol 12 (12) ◽

pp. 5535-5542 ◽

Author(s):

N. H Sweilam ◽

M Adel ◽

A. F Saadallah ◽

T. M Soliman

Keyword(s):

Variable Order ◽

Cable Equation ◽

Order Linear ◽

Numerical Studies ◽

Linear And Nonlinear ◽

Fractional Cable Equation

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Numerical solution for the variable order linear cable equation with Bernstein polynomials

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.03.066 ◽

2014 ◽

Vol 238 ◽

pp. 329-341 ◽

Author(s):

Yiming Chen ◽

Liqing Liu ◽

Baofeng Li ◽

Yannan Sun

Keyword(s):

Numerical Solution ◽

Bernstein Polynomials ◽

Variable Order ◽

Cable Equation ◽

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Numerical simulations for a variable order fractional cable equation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30767-7 ◽

2018 ◽

Vol 38 (2) ◽

pp. 580-590 ◽

Author(s):

A.M. NAGY ◽

N.H. SWEILAM

Keyword(s):

Numerical Simulations ◽

Variable Order ◽

Cable Equation ◽

Fractional Cable Equation

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Variable Order Linear Multi-Step Methods for Solving Stochastic Ordinary Differential Equations

Journal of Al-Nahrain University-Science ◽

10.22401/jnus.16.4.25 ◽

2013 ◽

Vol 16 (4) ◽

pp. 205-212

Author(s):

Fadhel S. Fadhel ◽

◽

Nabaa R. Kareem ◽

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Variable Order ◽

Order Linear ◽

Stochastic Ordinary Differential Equations ◽

Multi Step Methods

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Pseudospectral analysis and approximation of two‐dimensional fractional cable equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7362 ◽

2021 ◽

Author(s):

Avinash K. Mittal ◽

Lokendra K. Balyan ◽

Manoj K. Panda ◽

Parnika Shrivastava ◽

Harvindra Singh

Keyword(s):

Cable Equation ◽

Two Dimensional ◽

Fractional Cable Equation

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Consensus for heterogenous multi-agent systems with second-order linear and nonlinear dynamics

2018 Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc.2018.8408195 ◽

2018 ◽

Author(s):

Yi Shi ◽

Yanyan Yin ◽

Chenchen Liu ◽

Chenglin Liu ◽

Fei Liu

Keyword(s):

Nonlinear Dynamics ◽

Second Order ◽

Multi Agent Systems ◽

Order Linear ◽

Agent Systems ◽

Multi Agent ◽

Linear And Nonlinear

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SOLUTION OF SECOND ORDER LINEAR AND NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS USING LEGENDRE OPERATIONAL MATRIX OF DIFFERENTIATION

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v93i2.12 ◽

2014 ◽

Vol 93 (2) ◽

Author(s):

C.Y. Jung ◽

Z. Liu ◽

A. Rafiq ◽

F. Ali ◽

S.M. Kang

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Operational Matrix ◽

Second Order ◽

Nonlinear Ordinary Differential Equations ◽

Order Linear ◽

Operational Matrix Of Differentiation ◽

Linear And Nonlinear

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Correction to: Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

Nonlinear Dynamics ◽

10.1007/s11071-018-4366-z ◽

2018 ◽

Vol 94 (1) ◽

pp. 757-757

Author(s):

M. A. Zaky

Keyword(s):

Numerical Simulation ◽

Variable Order ◽

Cable Equation ◽

Two Dimensional ◽

Dimensional Variable

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Analytical Solution of Generalized Space-Time Fractional Cable Equation

Mathematics ◽

10.3390/math3020153 ◽

2015 ◽

Vol 3 (2) ◽

pp. 153-170 ◽

Author(s):

Ram Saxena ◽

Zivorad Tomovski ◽

Trifce Sandev

Keyword(s):

Analytical Solution ◽

Cable Equation ◽

Fractional Cable Equation

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Ulam Type Stability for First-order Linear and Nonlinear Impulsive Fuzzy Differential Equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1967940 ◽

2021 ◽

pp. 1-20

Author(s):

Rui Liu ◽

Michal Fevckan ◽

JinRong Wang ◽

Donal O'Regan

Keyword(s):

Differential Equations ◽

Order Linear ◽

First Order ◽

Linear And Nonlinear ◽

Ulam Type Stability

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A local hybrid kernel meshless method for numerical solutions of two‐dimensional fractional cable equation in neuronal dynamics

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22499 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1699-1717 ◽

Author(s):

Ömer Oruç

Keyword(s):

Meshless Method ◽

Numerical Solutions ◽

Cable Equation ◽

Two Dimensional ◽

Neuronal Dynamics ◽

Fractional Cable Equation ◽

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