A Block Hybrid Method with Equally Spaced Grid Points for Third-Order Initial Value Problems
Salma A. A. Ahmedai Abd Allah,
Precious Sibanda,
Sicelo P. Goqo
et al.
Abstract:In this paper, we extend the block hybrid method with equally spaced intra-step points to solve linear and nonlinear third-order initial value problems. The proposed block hybrid method uses a simple iteration scheme to linearize the equations. Numerical experimentation demonstrates that equally spaced grid points for the block hybrid method enhance its speed of convergence and accuracy compared to other conventional block hybrid methods in the literature. This improvement is attributed to the linearization pr… Show more
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