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February 8, 2026AppliedMathOpen Access

Fifth-Order Block Hybrid Approach for Solving First-Order Stiff Ordinary Differential Equations

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Authors

IDIbrahim Mohammed DibalYHYeak Su Hoe

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Overview

Novel approach demonstrates high accuracy in solving first-order equations, indicating robust computational efficiency.

Key Points

  • This research aims to develop a new hybrid block method capable of solving first-order stiff ordinary differential equations with high accuracy.
  • Introduces a single-step hybrid block method with three intra-step points
  • Maintains a constant step size for computation
  • Incorporates interpolation techniques for approximating function values
  • Analyzes stability, consistency, and convergence properties
  • Achieves fifth-order accuracy in solutions
  • Demonstrates superior performance compared to existing numerical methods
  • Proves reliable across various test cases for stiff and non-stiff systems
  • Confirms robustness and effectiveness of the proposed method under different conditions

Cite This Study

Dibal et al. (2026) studied this question.

synapsesocial.com/papers/6988291e0fc35cd7a884924ahttps://doi.org/10.3390/appliedmath6020021
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