Method of Successive Approximation
homepage.divms.uiowa.edu › ~idarcy › COURSESMethod of Successive Approximation (also called Picard’s iteration method). IVP: y′ = f (t;y), y(t0) = y0. Note: Can always translate IVP to move initial value to the origin and translate back after solving: Hence for simplicity in section 2.8, we will assume initial value is at the origin: y′ = f (t;y), y(0) = 0. Thm 2.4.2: Suppose the ...
Euler s Method and Picard s Method - Jiwaji University
www.jiwaji.edu › pdf › ecoursei) Euler‟s method ii) Picard Iteration method iii) Taylor Series method 2.1 Eulers method In this section we‟ll take a brief look at a fairly simple method for approximating solutions to differential equations. We derive the formulas used by Euler‟s Method and give a brief discussion of the errors in the approximations of the solutions.