Numerical Solution of the Nonlinear Convection–Diffusion Equation Using the Fifth Order Iterative Method by Newton–Jarratt

Numerical Solution of the Nonlinear Convection–Diffusion Equation Using the Fifth Order Iterative Method by Newton–Jarratt

This study presents a novel fifth-order iterative method for solving nonlinear systems derived from a modified combination of Jarratt and Newton schemes, incorporating a frozen derivative of the Jacobian. The method is applied to approximate solutions of the nonlinear convection–diffusion equation....

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Bibliographic Details
Main Authors: Santiago Quinga, Wilson Pavon, Nury Ortiz, Héctor Calvopiña, Gandhy Yépez, Milton Quinga
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Mathematics
Subjects:
convection–diffusion
Crank–Nicolson
Newton–Jarrat
iterative method
Online Access:https://www.mdpi.com/2227-7390/13/7/1164
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