Assessment of Numerical Performance of Some Runge-Kutta Methods and New Iteration Method on First Order Differential Problems
Khadeejah James Audu,
Aliyu Rasheed Taiwo,
Abdulganiyu Alabi Soliu
Abstract:This research focuses on the assessment of the numerical performance of some Runge-Kutta methods and New Iteration Method “NIM” for solving first-order differential problems. The assessment is conducted through extensive numerical experiments and comparative analyses. Accuracy, efficiency, and stability are among the key factors considered in evaluating the performance of the methods. A range of first-order differential problems with diverse characteristics and complexity levels is employed to thoroughly ex… Show more
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