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Three-Variable Shifted Jacobi Polynomials Approach for Numerically Solving Three-Dimensional Multi-Term Fractional-Order PDEs with Variable Coefficients

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Computer Modeling in Engineering & Sciences 2018年第4期115卷 67-84页

作者： Jiaquan Xie Fuqiang Zhao Zhibin Yao Jun Zhang College of Mechanical Engineering Taiyuan University of Science and TechnologyTaiyuan 030024China taiyuan Institute of China Coal Technology Engineering Group Taiyuan 030006China collaborative innovation center of taiyuan heavy machinery equipment Taiyuan 030024China.

In this paper,the three-variable shifted Jacobi operational matrix of fractional derivatives is used together with the collocation method for numerical solution of threedimensional multi-term fractional-order PDEs with variable *** main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations which greatly simplifying the *** approximate solutions of nonlinear fractional PDEs with variable coefficients thus obtained by threevariable shifted Jacobi polynomials are compared with the exact *** some theorems and lemmas are introduced to verify the convergence results of our ***,several numerical examples are presented to test the superiority and efficiency of the proposed method.

关键词： Three-variable shifted Jacobi polynomials multi-term fractional-order PDEs variable coefficients numerical solution convergence analysis

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Analysis and verification of gas content and pressure change rate characteristics in hydraulic system

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High Technology Letters 2019年第3期25卷 326-333页

作者： Han Heyong Liu Yuan Qin Lixia Wang Kai Peng Huayu collaborative innovation center of taiyuan heavy machinery equipment Taiyuan University of Science and Technology

Gas content of the hydraulic system directly affects the rate of pressure change of the hydraulic system. The purpose of this paper is to establish a mathematical model of oil gas content, hydraulic system pressure and pressure rise rate, obtain corresponding oil pressure value when the pressure rise rate of different gas content is maximum, and verify the accuracy of this conclusion by the FLUENT simulation software. On this basis, a rapid pressure building device of the hydraulic system is developed and designed. The above oil pressure value is used as the working cut-off pressure of the rapid pressure building device, and then the hydraulic oil pump continues to pressurize to the highest working pressure required by the system. The research content can replace the hydraulic system from the initial low pressure to the rapid pressure build-up of the oil, thus increasing the construction pressure of the hydraulic system. The research results show that the rapid pressure building device effectively reduces the time for the hydraulic system to establish pressure. Through the analysis of theoretical derivation and the collected experimental data, the error is about 5.9%, which verifies the correctness of the theoretical formula.

关键词： hydraulic system gas content establishment of pressure rate rapid pressure building device pressure building time

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