This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. Includes more than 100 illustrations, exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.4.3.2 Monotone Methods A numerical scheme is said to be monotone if it preserves monotonicity in the solution. For example, if g(x) = tanh(10x) then the solution u(x, t)= tanh(10(x a at)) is a monotonically increasing function of x at any time t.Aanbsp;...
|Title||:||Introduction to Numerical Methods in Differential Equations|
|Author||:||Mark H. Holmes|
|Publisher||:||Springer Science & Business Media - 2007|