Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Evaluate using Fourth order R-K Method
Fourth order R-K Method
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Statistics and Numerical Methods : Unit - V : Numerical solution of ordinary differential Equations : Short Questions and Answers
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Solving the equation dy / dx = f1(x,y,z) and dz/dx = f2(x,y,z) with the initial conditions y (x0) = y0, z (x0) = z0
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
The Taylor's series method of solving differential equations numerically is restricted by the work involved in finding the higher order derivatives. However, there are class methods known as Runge-Kutta methods
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Statistics and Numerical Methods : Unit - V : Numerical solution of ordinary differential Equations : Exercise 5.2 [Euler and Modified Euler]
Euler and Modified Euler
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Statistics and Numerical Methods : Unit - V : Numerical solution of ordinary differential Equations : Short Questions and Answers
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
The Taylor's series method may be difficult to apply if the derivatives become complicated and in this case the error is difficult to determine.
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Using Taylor's Series method, solve the following problems.
Taylors Series Method
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Statistics and Numerical Methods : Unit - V : Numerical solution of ordinary differential Equations : Short Questions and Answers
Taylor's Series Method | Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
Taylor's series method can be extended to higher order differential equations.
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
The equations of the type dy / dx = f1 (x, y, z), dz/dx = f2 (x, y, z) with initial conditions y (x0) = y0, z (x0) = z0 can be solved by Taylor's series method.
Solved Example Problems
Subject and UNIT: Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations
The method gives a straightforward adaptation of classic calculus to develop the solution as an infinite series. It is a powerful single step method, if we are able to find the successive derivatives easily.