SIAM Journal on Numerical Analysis
High-order P-stable multistep methods
Journal of Computational and Applied Mathematics
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Numerical algorithms with Fortran
Numerical algorithms with Fortran
An explicit Numerov-type method for second-order differential equations with oscillating solutions
Computers & Mathematics with Applications
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We present a new explicit Runge-Kutta method with algebraic order four, minimum error of the fifth algebraic order (the limit of the error is zero, when the step-size tends to zero), infinite order of dispersion and eighth order of dissipation. The efficiency of the newly constructed method is shown through the numerical results of a wide range of methods when these are applied to well-known periodic orbital problems.