scholarly journals SOLA: a numerical solution algorithm for transient fluid flows

1975 ◽  
Author(s):  
C.W. Hirt ◽  
B.D. Nichols ◽  
N.C. Romero
Keyword(s):  
Numerical Solution ◽  
Fluid Flows ◽  
Solution Algorithm

scholarly journals Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Aydin Secer
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Numerical Solution ◽  
Equation System ◽  
Solution Algorithm ◽  
Basis Functions ◽  
Algebraic Equations ◽  
Parabolic Pdes ◽  
Linear Partial Differential Equations ◽  
Type Boundary

An efficient solution algorithm for sinc-Galerkin method has been presented for obtaining numerical solution of PDEs with Dirichlet-type boundary conditions by using Maple Computer Algebra System. The method is based on Whittaker cardinal function and uses approximating basis functions and their appropriate derivatives. In this work, PDEs have been converted to algebraic equation systems with new accurate explicit approximations of inner products without the need to calculate any numeric integrals. The solution of this system of algebraic equations has been reduced to the solution of a matrix equation system via Maple. The accuracy of the solutions has been compared with the exact solutions of the test problem. Computational results indicate that the technique presented in this study is valid for linear partial differential equations with various types of boundary conditions.

Sign in / Sign up

Export Citation Format

Share Document