𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Accurate numerical solution of initial value problems for the time dependent convection-diffusion equation

✍ Scribed by R. Company; L. Jódar; E. Ponsoda

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
212 KB
Volume
16
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

By using the Fourier transform method and composite Simpson's integration formula, a symbolically computable approximate solution of an initial value problem for the time dependent convection-diffusion equation is constructed. Given an admissible error e and a point (s,t), the approximation constructed with error less than E at (2, t) can be symbolically obtained using Mathematics 4.0.

📜 SIMILAR VOLUMES

The RKGL method for the numerical soluti
The RKGL method for the numerical solution of initial-value problems
✍ J.S.C. Prentice 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 188 KB

We introduce the RKGL method for the numerical solution of initial-value problems of the form y =f (x, y), y(a)= . The method is a straightforward modification of a classical explicit Runge-Kutta (RK) method, into which Gauss-Legendre (GL) quadrature has been incorporated. The idea is to enhance the

Monotone iterations for numerical soluti
Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay
✍ C. V. Pao 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 375 KB 👁 2 views

In this article we use the monotone method for the computation of numerical solutions of a nonlinear reactiondiffusion-convection problem with time delay. Three monotone iteration processes for a suitably formulated finite-difference system of the problem are presented. It is shown that the sequence