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Runge Kutta fourth order method is used for solving the chemical kinetics model equations.

A second order method is a Newton or quasi-Newton method, employing a local quadratic approximation.

A multilayer perceptron trained with the Levenberg Marquardt second order method is used.

A Runge Kutta fourth order method is used for the chemical kinetics model equations.

The Runge Kutta 4th order method is used for the chemical kinetics model equations.

In the time domain, the Runge Kutta 2nd order method is nested with a predictor corrector scheme.

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A plot of MAE vs. N and exact and numerical solutions vs. x, obtained with the fourth order method, are presented in Figure 2(a) and (b), respectively.

The disadvantage with such high order methods is that one must solve a number of quadratic matrix polynomial equations.

The system of 2N equations so obtained in both the second and the third order methods is easily solvable by numerical techniques, as discussed in Section 4.

The superiority of our sixth-order method is confirmed in this experiment.

The Runge Kutta fourth-order method is used for the chemical kinetics model equations.

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