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• W4280552307 abstract "In this article, a family of one-step hybrid block methods having two intrastep points is developed for solving first-order initial value stiff differential systems that occur frequently in science and engineering. In each method of the family, an intrastep point controls the order of the main method and a second one has a control over the stability features of the method. The approach used to develop the class of <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi mathvariant=script>A</mi> </math> -stable methods is based on interpolation and collocation procedures. The methods exhibit hybrid nature and produce numerical solutions at several points simultaneously. These methods can also be formulated as Runge-Kutta (RK) methods. Comparisons between the RK and block formulations of the proposed methods reveal a better performance of the block formulation in terms of computational efficiency. Furthermore, the efficiency of the methods is improved when they are formulated as adaptive step-size solvers using an error-control approach. Some methods of the proposed class have been tested to solve some well-known stiff differential systems. The numerical experiments show that the proposed family of methods performs well in comparison with some of the existing methods in the scientific literature." @default.
• W4280552307 created "2022-05-22" @default.
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• W4280552307 date "2022-05-16" @default.
• W4280552307 modified "2023-10-01" @default.
• W4280552307 title "A Family of <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi mathvariant=script>A</mi> </math>-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems" @default.
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• W4280552307 doi "https://doi.org/10.1155/2022/5576891" @default.
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