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An Efficient Algorithm for Solving Differential Equations to Facilitate Modeling and Simulation of Aerospace Systems
Technical Paper
2015-01-2402
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Differential equations play a prominent role in aerospace engineering by modeling aerospace structures, describing important phenomena, and simulating mathematical behavior of aerospace dynamical systems. Presently, aerospace systems have become more complex, space vehicle missions require more hours of simulation time to complete a maneuver, and high-performance missiles require more logical decisions in there phases of flight. Because of these conditions, a computationally efficient algorithm for solving these differential equations is highly demanded to significantly reduce the computing time. This paper presents an efficient method for solving the differential equations by using variational iteration method, which can be implemented into software package to dramatically reduce the computing time for simulating the aerospace systems thereby significantly improving computer's performance in real-time design and simulation of aircrafts, spacecrafts, and other aerospace vehicles.
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Citation
Liu, Y., "An Efficient Algorithm for Solving Differential Equations to Facilitate Modeling and Simulation of Aerospace Systems," SAE Technical Paper 2015-01-2402, 2015, https://doi.org/10.4271/2015-01-2402.Also In
References
- Li , C.-P. and Wang , Y.-H. Numerical algorithm based on Adomian decomposition for fractional differential equations Computers and Mathematics with Applications 57 2009 1672 1681
- Hu , Y.-Z. , Luo , Y. and Lu , Z.-Y. Analytical solution of the linear fractional differential equation by Adomian decomposition method Journal of Computational and Applied Mathematics 215 2008 220 229
- Wu , L. , Xie , L.-D. and Zhang , J.-F. Adomian decomposition method for nonlinear differential-difference equations Communications in Nonlinear Science and Numerical Simulation 14 2009 12 18
- Hosseini , M.M. and Jafari , M. A note on the use of Adomian decomposition method for high-order and system of nonlinear differential equations Communications in Nonlinear Science and Numerical Simulation 14 2009 1952 1957
- Setia , A. , Liu , Y.-C. and Vatsala , A.S. Numerical solution of fractional integro-differential equations with nonlocal boundary conditions Journal of Fractional Calculus and Applications 5 2 2014 155 165
- Liu , Y.-C. and Gurram , C.S. The use of He's variational iteration method for solving free vibration of Euler-Bernoulli beam Mathematical and Computer Modelling 50 11/12 2009 1545 1552
- Liu , Y.-C. and Gurram , C.S. Solving nonlinear differential difference equations using He's variational iteration method Applied Mathematical and Computational Sciences 3 1 2011 33 46
- Liu , Y.-C. and Kurra , S.N. Solution of Blasius equation by variational iteration Applied Mathematics 1 1 2011 24 27
- Mallahzadeh , A.R. and Soleimani , M. RCS computation or airplane using parabolic equation Progress in Electromagnetics Research, PIER 57 2006 265 276