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July 26, 2025International Journal of Science for Global Sustainability

A New Method for the Direct Solution of Second, Third and Fourth Order Differential Equations with Oscillatory Behavior

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Authors

FTFatima Umar Tafida

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Overview

Novel method demonstrates improved accuracy and stability in solving oscillatory ordinary differential equations, highlighting reduced computational complexity.

Key Points

  • The new method improves accuracy in solving higher-order differential equations directly, reducing complexity.
  • Numerical validation showcases significant stability compared to traditional methods for oscillatory equations.
  • The approach employs power series approximations and interpolation techniques to derive robust numerical schemes.
  • Rigorous analysis confirms key properties like convergence and stability, ensuring the method's reliability.

Cite This Study

Fatima Umar Tafida (2025) studied this question.

synapsesocial.com/papers/68af4ec6ad7bf08b1ead7fa5https://doi.org/10.57233/ijsgs.v10i1.866
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