A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solutions of(2+1)-Dimensional Time Fractional Coupled Burger Equations

S. SahaRay

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A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solutions of(2+1)-Dimensional Time Fractional Coupled Burger Equations

机译：（2 + 1）维时间分数阶耦合Burger方程数值解的新的分数阶约简差分变换方法

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A very new technique, coupled fractional reduced differential transform, has been implemented to obtain the numerical approximate solution of (2 + 1)-dimensional coupled time fractional burger equations. The fractional derivatives are described in the Caputo sense. By using the present method we can solve many linear and nonlinear coupled fractional differential equations. The obtained results are compared with the exact solutions. Numerical solutions are presented graphically to show the reliability and efficiency of the method.

机译：已经实现了一种非常新的技术，即耦合分数减小的微分变换，以获得（2 +1）维耦合时间分数汉堡模型的数值近似解。小数导数以Caputo的含义描述。通过使用本方法，我们可以求解许多线性和非线性耦合分数阶微分方程。将获得的结果与精确解进行比较。以图形方式给出了数值解，以表明该方法的可靠性和效率。

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《Modelling and simulation in engineering》 |2014年第1期|共12页
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S. SahaRay;
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1. Numerical solutions of (1+1) dimensional time fractional coupled Burger equations using new coupled fractional reduced differential transform method [J] . S. Saha Ray International journal of computing science and mathematics . 2013,第1期

机译：用新的耦合分数减少差分变换方法求解（1 + 1）维时间分数耦合Burger方程的数值解
2. Numerical solution for (2+1)-dimensional time-fractional coupled Burger equations using fractional natural decomposition method [J] . Prakasha Doddabhadrappla G., Veeresha Pundikala, Rawashdeh Mahmoud S. Mathematical Methods in the Applied Sciences . 2019,第10期

机译：使用分数自然分解方法的（2 + 1） - 二维时间 - 分数耦合汉堡方程的数值溶液
3. Comments on "Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method, Applied Mathematics and Computation 217 (2011) 7001-7008" [J] . Sobhan Mosayebidorcheh Applied mathematics and computation . 2014,第Null期

机译：评论“通过广义微分变换方法，应用时间和空间分数耦合Burgers方程的数值解，应用数学和计算217（2011）7001-7008”
4. Solving Time-Fractional Nonlinear Coupled Boussinesq-Burgers Equations Arise In Propagation of Shallow Water Waves Using Adomian Decomposition Method [C] . L. Meenatchi, M. Kaliyappan National Conference on Mathematical Analysis and Computing . 2019

机译：求解时间 - 分数非线性耦合Bousinesq-Burgers方程在使用Adomian分解方法中繁殖浅水波的传播中
5. The numerical solutions of fractional differential equations with fractional Taylor vector [D] . Krishnasamy Saraswathy, Vidhya. 2016

机译：分数阶泰勒向量的分数阶微分方程的数值解
6. An Efficient Method for Systems of Variable Coefficient Coupled Burgers Equation with Time-Fractional Derivative [O] . Hossein Aminikhah, Nasrin Malekzadeh 2013

机译：具有时间分数阶导数的变系数Burgers方程组的一种有效方法
7. A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solutions of(2+1)-Dimensional Time Fractional Coupled Burger Equations [O] . S. Saha Ray 2014

机译：一种新的（2 + 1） - 二维时间分数耦合汉堡方程数值解的新耦合分数减小差分变换方法

A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solutions of(2+1)-Dimensional Time Fractional Coupled Burger Equations

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