A High-Order Numerical Scheme for Efficiently Solving Nonlinear Vectorial Problems in Engineering Applications
Mudassir Shams,
Bruno Carpentieri
Abstract:In scientific and engineering disciplines, vectorial problems involving systems of equations or functions with multiple variables frequently arise, often defying analytical solutions and necessitating numerical techniques. This research introduces an efficient numerical scheme capable of simultaneously approximating all roots of nonlinear equations with a convergence order of ten, specifically designed for vectorial problems. Random initial vectors are employed to assess the global convergence behavior of the … Show more
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