A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates
نویسندگان
چکیده
منابع مشابه
Decay Estimates for Fourth Order Wave Equations
may be thought of as a nonlinear beam equation. In this paper we obtain both L-L estimates and space-time integrability estimates on solutions to the linear equation. We also use these estimates to study the local existence and asymptotic behavior of solutions to the nonlinear equation, for nonlinear terms which grow like a certain power of u. The main L-L estimate (Theorem 2.1) states that sol...
متن کاملA temporal fourth-order scheme for the first-order acoustic wave equations
Guihua Long,1,2,3 Yubo Zhao1 and Jun Zou4 1Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China. E-mail: [email protected] 2Technological Research Center of Shenzhen Municipal Engineering Corporation, Shenzhen 518034, China 3Department of Earth Sciences, Zhejiang University, Hangzhou 310027, China 4Department of Mathematics, The Chinese University of ...
متن کاملA Compact Fourth - Order Finite Difference Scheme for the Steady Incompressible Navier - Stokes Equations
We note in this study that the Navier-Stokes equations, when expressed in streamfunction-vorticity fonn, can be approximated to fourth--order accuracy with stencils extending only over a 3 x 3 square of points. The key advantage of the new compact fourth-order scheme is that it allows direct iteration for low~to-mediwn Reynolds numbers. Numerical solutions are obtained for the model problem of ...
متن کاملA Fourth-Order Compact Finite Difference Scheme for Solving Unsteady Convection-Diffusion Equations
Convection-diffusion equations are widely used for modeling and simulations of various complex phenomena in science and engineering (Hundsdorfer & Verwer, 2003; Morton, 1996). Since for most application problems it is impossible to solve convection-diffusion equations analytically, efficient numerical algorithms are becoming increasingly important to numerical simulations involving convection-d...
متن کاملCompact difference scheme for semi-linear delayed diffusion wave equation with fractional order in time
A compact difference scheme for a class of non-linear fractional diffusion-wave equations with fixed time delay is considered. Analysis of the constructed difference scheme is done in L∞-norm by means of the discrete energy method. A numerical test example is introduced to illustrate the accuracy and efficiency of the proposed method.
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: East Asian Journal on Applied Mathematics
سال: 2019
ISSN: 2079-7362,2079-7370
DOI: 10.4208/eajam.171118.060119