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On numerical methods for solving linear systems appearing in Infinite Precision Numerical Simulation (Numerical Solution of Partial Differential Equations and Related Topis II)

机译：关于求解无限精度数值模拟中出现的线性系统的数值方法（偏微分方程和相关Topis II的数值解）

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Takeuchi Toshiki; Sakaguchi Hideo; Jin Cheng-Hai; Imai Hitoshi;
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年度 2001
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1. Generalized fractional‐order Jacobi functions for solving a nonlinear systems of fractional partial differential equations numerically [J] . Kamali Farzaneh, Saeedi Habibollah Mathematical Methods in the Applied Sciences . 2018,第8期

机译：广义分数阶Jacobi用于在数值上求解分数局部微分方程的非线性系统
2. In this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given. [J] . M. M. Khader, M. Adel Nonlinear engineering: Modeling and application . 2016,第3期

机译：在本文中，我们采用分数阶复杂变换方法将非线性分数阶Klein-Gordon方程（FKGE）转换为常微分方程。我们使用变分迭代方法（VIM）来解决所得的ODE。分数导数以Caputo形式表示。提出了一些数值例子来验证所提出的技术。最后，与使用四阶Runge-Kutta的数值解进行了比较。
3. A System of Coupled Nonlinear Partial Differential Equations Describing Avascular Tumour Growth Are Solved Numerically Using Parallel Programming to Assess Computational Speedup [J] . Paul M. Darbyshire Computational Biology and Bioinformatics . 2015,第5期

机译：使用并行编程评估计算加速比，数值求解求解血管肿瘤生长的耦合非线性偏微分方程组
4. New partial differential equations governing the joint, response-excitation, probability distributions of nonlinear systems, under general stochastic excitation. II: numerical solution [C] . T.P. Sapsis, G.A. Athanassoulis International Conference on Computational Stochastic Mechanics . 2007

机译：一种新的局部微分方程，在一般随机激发下，控制非线性系统的关节，响应励磁，概率分布。 II：数值解决方案
5. Meshless Methods for Numerically Solving Boundary Value Problems of Elliptic Type Partial Differential Equations [D] . Choi, Minhwa 2018

机译：数值求解椭圆型偏微分方程边值问题的无网格方法
6. Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations [O] . Na Huang, Changfeng Ma -1

机译：求解非线性方程组的不动点迭代法的收敛性分析和数值研究
7. A Numerical method for partial differential equations using the total symbol (Numerical Solution of Partial Differential Equations and Related Topics) [O] . 米谷道夫 2000

机译：用总符号表示偏微分方程的数值方法（偏微分方程和相关主题的数值解）
8. Numerical Grid Generation. Proceedings of a Symposium on the Numerical Generation of Curvilinear Coordinate Systems and their Use in the Numerical Solution of Partial Differential Equations, held April 1982, Nashville, Tennessee. [R] . Thompson, J. F. 1982

机译：数值网格生成。 1982年4月，田纳西州纳什维尔举行的曲线坐标系数值生成及其在偏微分方程数值解中的应用研讨会论文集。

On numerical methods for solving linear systems appearing in Infinite Precision Numerical Simulation (Numerical Solution of Partial Differential Equations and Related Topis II)

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