Milne's numerical method using predictor and corrector formula second order ODE best example

In this video explained Milne's numerical method using predictor and corrector formula second order ODE best example. This example very simple first apply predictor formula and then after corrector formula using. This method is in numerical method topic and this equation is second order differential equation reduce to first order differential equation. Milne's method is a numerical method used to solve ordinary differential equations (ODEs). It is a four-step predictor-corrector method that uses information about the solution at previous time steps to estimate the solution at the next time step. The key idea behind Milne's method is to use a polynomial approximation of the solution based on the values of the solution and its derivatives at previous time steps. The method first uses the solution at previous time steps to estimate the solution at the next time step, called the predictor step. Then it uses the derivatives of the solution at the previous time steps to estimate the solution at the next time step called the corrector step. The final solution is obtained by combining the predictor and corrector steps in a weighted average. Milne's method is widely used in scientific and engineering applications where the solution of ODEs is required and its high accuracy and stability make it a popular choice for many applications.

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COMPLEX NUMBER: 18MATDIP31
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Differential Calculus:18MATDIP31
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Ordinary differential equation 18MATDIP31 & 17MATDIP31
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