A predictor-corrector scheme for fourth order parabolic partial differential equations
نویسندگان
چکیده
منابع مشابه
Application of Differential Transformation Method for Solving a Fourth-order Parabolic Partial Differential Equations
In this research, the Differential Transformation method (DTM) has been utilized to solve a fourth-order parabolic partial differential equations. This method can be used to obtain the exact solutions of this equation. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method. AMS Subject Classification: 35K25, 65M70
متن کاملA Predictor-corrector Scheme for Solving Nonlinear Delay Differential Equations of Fractional Order
Adams-Bashforth-Moulton algorithm has been extended to solve delay differential equations of fractional order. Numerical illustrations are presented to demonstrate utility of the method. Chaotic behaviour is observed in one dimensional delayed systems of fractional order. We further find the smallest fractional order for the chaotic behaviour. It is also observed that the phase portraits get st...
متن کاملQuasi - wavelet for Fourth Order Parabolic Partial Integro - differential Equation ⋆
In this paper we discuss the numerical solution of initial-boundary value problem for the fourth order parabolic partial integro-differential equation. We use the forward Euler scheme for time discretization and the quasi-wavelet method for space discretization. Sometimes, we give a new method about the treatment of boundary condition. Numerical experiment is included to demonstrate the validit...
متن کاملQuintic B-Spline for the Numerical Solution of Fourth-Order Parabolic Partial Differential Equations
The quintic B-spline collocation method is developed to solve the fourth-order parabolic partial differential equation. This kind of problem arises in the field of transverse vibration of the uniform flexible beam. Stability analysis of the method has also been proven. Two examples have been considered to illustrate the efficiency of the method developed. It has been observed that the numerical...
متن کاملfor parabolic partial differential equations
number of iterationsrequired to meet the convergencecriterion. the converged solutions from the previous step. This significantly reduces the interfacial boundaries, the initial estimates for the interfacial flux is given from scheme. Outside of the first time step where zero initial flux is assumed on all between subdomains are satisfied using a Schwarz Neumann-Neumam iteration method which is...
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: Computers & Mathematics with Applications
سال: 1989
ISSN: 0898-1221
DOI: 10.1016/0898-1221(89)90055-2