David John Evans, Bahrom B. Sanugi
Abstract
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New non-linear Runge-Kutta methods for solving initial value problems are shown to be obtained by the strategic use of geometric mean (GM) rather than arithmetic mean averaging of the functional values in the standard integration formula.
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New non-linear Runge-Kutta methods for solving initial value problems are shown to be obtained by the strategic use of geometric mean (GM) rather than arithmetic mean averaging of the functional values in the standard integration formula.
Key concepts: Runge–Kutta methods, Mathematics, Applied mathematics, Value (mathematics), Nonlinear system, Initial value problem, Calculus (dental), Mathematical optimization