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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.
📌 3 Key Takeaways
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Objective & Hypothesis:The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method (PDTM), for solving high-order boundary value problems (HOBVPs).
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Key Findings & Data:Our method is based on the classical differential transform method and differs from it by calculating the coefficients of the solution, which has the form of a series.
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Conclusion & Impact:The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Differential transform method · Boundary Value Problem · Approximate solution
Abstract
The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method (PDTM), for solving high-order boundary value problems (HOBVPs). Our method is based on the classical differential transform method and differs from it by calculating the coefficients of the solution, which has the form of a series. We applied the proposed new method to fourth-order boundary value problems to substantiate it. The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.
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Cite This Article
YÜCEL, M., MUHTAROV, F., MUKHTAROV, O. (2022). A New Transformation Method for Solving High-Order Boundary Value Problems. Journal of New Theory, Cilt: - Sayı: 40, 90–100. https://ajindex.com/articles/652510