Solution of Chemical Engineering Models and Their Dynamics Using a New Three-Step Derivative Free Optimal Method
Abstract
The aim of this research article is to develop a three-step optimal iterative technique using Hermite interpolation for the solution of nonlinear algebraic and transcendental equation arises in chemical engineering models. In this connection, we proposed an optimal three-step eight-order technique without derivative and, has a high efficiency index. The convergence analysis of the proposed method is also discussed. For this demonstration, we apply the new technique to certain nonlinear problems in chemical engineering, such as, the conversion in a chemical reactor, a chemical equilibrium problem, azeotropic point of a binary solution and Continuous Stirred Tank Reactor (CSTR). And the study of dynamics is also used to demonstrate the performance of the presented scheme. It’s observed from the Comparison tables and dynamics, the proposed technique is more efficient compared to other existing methods.
Keywords: nonlinear equations, root-finding iterative methods, chemical engineering models, optimal order of convergence, basin of attraction.
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