Exact solution to Duffing equation and the pendulum equation
نویسندگان
چکیده
منابع مشابه
Numerical Solution to Duffing Equation Using Hybrid Genetic Algorithm Technique
In this paper, a heuristic scheme is used to obtain the numerical solution of the non linear ordinary differential equations (NLODEs). The approximate solutions of the given NLODEs are deduced as a linear combination of some log sigmoid basis functions with unknown parameters. The given NLODEs are converted into equivalent global error minimization problems. Genetic algorithm (GA) and a hybrid ...
متن کاملNonresonant Excitation of the Forced Duffing Equation
We investigate the hard nonresonant excitation of the forced Duffing equation with a positive damping parameter E. Using the symbolic manipulation system MACSYMA, a computer algebra system. we derive the two term perturbation expansion by the method of multiple time scales. The resulting approximate solution is valid for small values of the coefficient e As the damping parameter e increases, th...
متن کاملOn Fuzzy Solution for Exact Second Order Fuzzy Differential Equation
In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...
متن کاملAn Exact Solution of the Einstein’s Equation
In this short letter we present a rigorous vacuum solution of the Einstein’s equation with a few singular surfaces. In contrast with the well known solutions, this solution looks somewhat exotic and strange. The physical meanings of the parameters and coordinates are still absent. PACS numbers: 04.20-q, 04.20.Dw, 04.20.Jb, 04.25-g
متن کاملAn exact solution to the Korteweg-de Vries-Burgers equation
In this letter, applying a series of coordinate transformations, we obtain a new class of solutions of the Korteweg–de Vries–Burgers equation, which arises in the theory of ferroelectricity. © 2005 Elsevier Ltd. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Sciences
سال: 2014
ISSN: 1314-7552
DOI: 10.12988/ams.2014.44243