SOLVING OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OFTHE SECOND KIND USING BLOCK HYBRID METHOD
الكلمات المفتاحية:
BHM , VIDEs , Second kind , LBA , Consistency , Numerical simulation , Power series polynomial , Convergence analysisالملخص
This study presented a Block Hybrid Method (BHM) for numerical integration of linear and nonlinear Volterra Integro-Differential Equations (VIDEs) of the second kind. The BHM was derived using the linear multistep method with the Linear Block Algorithm (LBA) to obtain a new block algorithm and its higher derivatives. Numerically, the analysis of the basic properties of the BHM was studied and found to be of uniform order seven, consistency, zerostability, and convergence, with an A-stable region of absolute stability. The numerical simulation of BHM was carried out by integrating the BHM on linear and nonlinear Volterra integro-differential equations of second kind. The results obtained were compared with existing methods and presented in tables and graphically shown. The numerical comparisons show that the BHM produces highly accurate approximations and minimize the truncation error over the existing methods. The study shows that the BHM is efficient, stable and suitable for solving Volterra integro-differential equations of the second kind.
منشور
كيفية الاقتباس
إصدار
القسم
كيفية الاقتباس
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