A new class of time discretization schemes for the solution of nonlinear PDEs
Journal of Computational Physics
Connection coefficients on an interval and wavelet solutions of Burgers equation
Journal of Computational and Applied Mathematics
Frequency determination and step-length control for exponentially-fitted Runge---Kutta methods
Journal of Computational and Applied Mathematics
Exponential fitting of the delayed recruitment/renewal equation
Journal of Computational and Applied Mathematics
Exponential time differencing for stiff systems
Journal of Computational Physics
The arbitrary order implicit multistep schemes of exponential fitting and their applications
Journal of Computational and Applied Mathematics
High-order predictor-corrector of exponential fitting for the N-body problems
Journal of Computational Physics
Multistep numerical methods for the integration of oscillatory problems in several frequencies
Advances in Engineering Software
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We develop various order-explicit multistep schemes of exponential fitting for systems of ordinary differential equations. The schemes may be applied to systems whose linear part is nondiagonal. Various precisions can be achieved by employing the various order schemes. Comparisons of accuracy and efficiency of numerical solutions are mentioned in the examples. The numerical results show that the schemes are highly accurate and computationally efficient.