Analytic solution to the pendulum equation for a given initial conditions
نویسندگان
چکیده
منابع مشابه
An analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients
This paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients. At first, the non-self-adjoint spectral problem is derived. Then its adjoint problem is calculated. After that, for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined. Finally the convergence ...
متن کاملan analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients
this paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients. at first, the non-self-adjoint spectral problem is derived. then its adjoint problem is calculated. after that, for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined. finally the convergence ...
متن کاملAnalytic Approximate Solution for Falkner-Skan Equation
This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained re...
متن کاملAnalytic Solution of Multipantograph Equation
where λ, μ1, μ2, . . . , μk, y0 ∈ C, has been studied by numerous authors e.g., 1–8 . Secondorder versions of this equation have also been studied e.g., 9, 10 . The enduring interest in this equation is due partially to the number of applications it has found such as a current collection system for an electric locomotive, cell growth models, biology, economy, control, and electrodynamics e.g., ...
متن کاملAPPLICABILITY OF THE WELL OPERATED CONDITIONS FOR THE SOLUTION OF MIXED PROBLEM ATTRIBUTED TO SCHR?DINGER EQUATION
As a sequel of the recent works, we would like to discuss another stage for the solution of the mixed problem which considers the concepts of well operated conditions applicable to the solution of mixed problem, i.e. the existence and uniqueness of the solution must always conformable with some assumptions.
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: Journal of King Saud University - Science
سال: 2020
ISSN: 1018-3647
DOI: 10.1016/j.jksus.2019.07.005