NONPERTURBATIVE ANALYTICAL SOLUTION OF THE TIME FRACTIONAL ADVECTION PROBLEM

T. SUTRADHAR; B.K. DATTA; R.K. BERA

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NONPERTURBATIVE ANALYTICAL SOLUTION OF THE TIME FRACTIONAL ADVECTION PROBLEM

机译：时间分数修正问题的非矫正解析解

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A nonperturbative analytic solution is derived for the time fractional nonlinear advection problem by using Adomian's Decomposition Method (ADM). The solution is obtained in the form of a power series with easily computable coefficients. The present method performs extremely well in terms of accuracy, efficiency and simplicity.

机译：通过使用Adomian分解法（ADM），推导了时间分数非线性对流问题的非摄动解析解。该解以具有容易计算的系数的幂级数的形式获得。在准确性，效率和简单性方面，本方法执行得非常好。

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《Applied Mechanics and Engineering》 |2012年第2期|p.629-636|共8页
作者
T. SUTRADHAR; B.K. DATTA; R.K. BERA;
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作者单位

Department of Mathematics, Ranaghat Debnath Institution Mission Road, Ranaghat - 741202, Nadia, W.B. INDIA;

Department of Mathematics, Chakdaha College Chakdaha - 741 222, Nadia, INDIA;

Heritage Institute of Technology, BK-301, Sector-II Chowbaga Road, Anandapur, Kolkata - 700 107, INDIA;

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原文格式 PDF
正文语种 eng
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关键词
advection problem; decomposition method; fractional calculus;

机译：平流问题;分解方法分数演算;

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专利

1. NONPERTURBATIVE ANALYTICAL SOLUTION OF THE TIME FRACTIONAL ADVECTION PROBLEM [J] . T. SUTRADHAR, B. K. DATTA, R. K. BERA International Journal of Applied Mechanics and Engineering . 2012,第2期

机译：时间分数修正问题的非矫正解析解
2. Nonperturbative analytical solution of the time fractional nonlinear Burger’s equation [J] . T. Sutradhar, B. K. Datta, R. K. Bera Indian Journal of Physics . 2009,第12期

机译：时间分数阶非线性Burger's方程的非摄动解析解
3. Analytical and numerical solutions of time and space fractional advection-diffusion-reaction equation [J] . Jannelli Alessandra, Ruggieri Marianna, Speciale Maria Paola Communications in Nonlinear Science and Numerical Simulation . 2019,第MAY期

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4. Analytical and Numerical Solutions of Fractional Type Advection-diffusion Equation [C] . Alessandra Jannelli, Marianna Ruggieri, Maria Paola Speciale International Conference of Numerical Analysis and Applied Mathematics . 2017

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5. Numerical Solutions of Fractional Nonlinear Advection-Reaction-Diffusion Equations [D] . Vorderwülbecke, Sophia. 2018

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6. Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method [O] . Birol İbiş, Mustafa Bayram -1

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7. Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation [O] . Abdon Atangana, Adem Kilicman 2013

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NONPERTURBATIVE ANALYTICAL SOLUTION OF THE TIME FRACTIONAL ADVECTION PROBLEM

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