resort to numerical methods), Euler's method will be used and compared with other methods to evaluate how accurate each one is when compared to the true value that is being found. Euler's method, being the earliest discovered approach to approximating solutions for differential equations, is an easy, yet rather inaccurate method when compared to more newly discovered methods that differ in their solving processes. I aim to start with Euler's method, and go on to using other methods in order of increasing
stagnation point flow of a dusty fluid towards a stretching sheet is investigated. The governing equations are transformed into ordinary differential equations by presentation a similarity solution and then are solved numerically using Runge Kutta fourth order method. The effects of the physical parameters like fluid particle interaction parameter, ratio of free stream velocity parameter to stretching sheet velocity parameter, Prandtl number and Eckert number on the
INTRODUCTION OF EULER METHOD 1.1 Ordinary Differential Equations • A most general form of an ordinary differential equation (ode) is given by f( x, y, y', . . ., y(m) ) = 0 Where x is the independent variable and y is a function of x. y', y'' . . . y(m) are respectively, first, second and mth derivatives of y with respect to x. Some definitions: • the highest derivative in the ode is called the order of the ode. • the degree of the highest