Comparison of Numerical Solutions for Volterra Integro-Differential Equations Using the Differential Transform Method
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Abstract
Volterra integro-differential equations are widely used to describe systems with memory effects in science and engineering. This paper presents a comparison of numerical solutions for such equations using the Differential Transform Method (DTM). The method is applied to selected examples and the obtained results are compared with exact solutions. The accuracy and efficiency of DTM are demonstrated through numerical values and graphical representations. The results show that DTM provides reliable approximations with minimal computational effort, making it an effective approach for solving Volterra integro-differential equations.
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References
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