Object-oriented Modeling with Partial Differential Equations
نویسنده
چکیده
Mathematical models containing partial differential equations (PDEs) occur in many engineering applications. Modelica is a general, high-level language for object-oriented modeling with differential-algebraic equations (DAEs). There is a need for extending Modelica to also support modeling with PDEs. This paper presents some ideas on such extensions to the Modelica language, that would allow formulation of PDE problems defined on general domains using objects.
منابع مشابه
Simulation of Singular Fourth- Order Partial Differential Equations Using the Fourier Transform Combined With Variational Iteration Method
In this paper, we present a comparative study between the modified variational iteration method (MVIM) and a hybrid of Fourier transform and variational iteration method (FTVIM). The study outlines the efficiencyand convergence of the two methods. The analysis is illustrated by investigating four singular partial differential equations with variable coefficients. The solution of singular partia...
متن کاملOn The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
In the present work, a hybrid of Fourier transform and homotopy perturbation method is developed for solving the non-homogeneous partial differential equations with variable coefficients. The Fourier transform is employed with combination of homotopy perturbation method (HPM), the so called Fourier transform homotopy perturbation method (FTHPM) to solve the partial differential equations. The c...
متن کاملComputational technique of linear partial differential equations by reduced differential transform method
This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. In this technique, the solution is calculated in the form of a series with easily computable components. There test modeling problems from mathematical mechanic, physi...
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
متن کاملExtending Modelica for Partial Differential Equations
Currently, Modelica only supports models containing constants, time-dependent variables, and time-derivatives of variables, i.e. ordinary differential and algebraic equations. In this article, we present how the Modelica language can be extended to support object-oriented modeling with partial differential equations (PDEs), in order to solve initial and boundary value problems. The techniques w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000