Computational Methods in Partial Differential EquationsReport for Bachelor of Engineering (Ocean Engineering). |
From inside the book
32 pages matching boundary value problem in this book
Where's the rest of this book?
Results 1-3 of 32
Common terms and phrases
A.D.I. method a²u a²u boundary conditions boundary value problem calculation constant convergence difference approximation difference equation difference formula difference replacement Dirichlet Dirichlet problem domain of dependence Douglas-Rachford dx² eigenvalues eigenvectors elimination elliptic equations Example Exercise explicit difference figure finite difference methods formula 26 given H₁ heat conduction hyperbolic equations implicit formula initial boundary value intermediate boundary values internal grid points iteration parameter iterative method kh² L.O.D. methods Laplace's equation Lax-Wendroff Lax-Wendroff method leads linear lines parallel matrix of order method for solving Neumann problem norm obtained parabolic equation parameter sequence partial differential equations Peaceman-Rachford method region respectively rn+1 satisfied Show sin² solving equation space dimensions stability symmetric symmetric matrix totality of equations tridiagonal truncation error U₁ Um+1 Un++ Un+1 unit square V₁ vector X₁ απ ди дх