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A Simplified and innovative solution to the exact differential equation and its comparison with the method of Arfken and koshlyakov

Year: 2025
Type: article
Abstract: This research introduces a simplified boundary-fixing method for solving first-order exact differential equations, which reduces computational complexity while maintaining accuracy. The proposed approach is compared with classical techniques, particularly those developed by George B .Arfken and Nikolai G. koshlyakov, with both theoretical and pratical examples provided to demonstrate its efficacy . Through these comparisons, the paper aims to show the advantages of the new method in terms of computational efficiency and ease of application. KEYWORDS : Differential Equation , solving , Arfken , theoretical , Koshlyakov , accurate
Institution: Albaydha University
Language: English
Open Access status: diamond
OpenAlex ID: W4409646406
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