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Numerical Integration of Fourth-Order Initial Value Problems of Odes Using a Seventh-Order Linear Multistep Scheme

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New method demonstrates improved accuracy for solving fourth-order initial value problems, highlighting stability and convergence.

The seventh-order linear multistep method significantly improves accuracy in numerical integration of fourth-order initial value problems.
Numerical examples confirm that this technique outperforms existing methods in terms of efficiency and stability.
The method utilizes Chebyshev polynomials for effective interpolation, ensuring robust convergence behavior.
Stability analysis shows that the proposed approach remains reliable under various conditions and settings.

Arjona et al. (2025) studied this question.

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