Search results with tag "Numerical methods for partial differential equations"

Numerical Methods for Partial Differential Equations

view for the Taylor’s series and the curve fitting. Theorem 1.1. (Taylor’s Theorem). Assume that u2Cn+1[a;b] and let c2[a;b]. Then, for every x2(a;b), there is a point ˘that lies between xand c such that u(x) = p n(x) + E n+1(x); (1.1) where p nis a polynomial of degree nand E n+1 denotes the remainder defined as p n(x) = Xn k=0 u(k)(c ...

  Series, Methods, Differential, Equations, Numerical, Partial, Numerical methods for partial differential equations