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Numerical Solution of Nonlinear Fractional Differential Equations with Variable Coefficients by Jacobian Iterative Method

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DOI: 10.23977/IEMM2021.033

Author(s)

Bentu Li

Corresponding Author

Bentu Li

ABSTRACT

When solving nonlinear fractional differential equations with Jacobian iterative method has the characteristics of keeping the iterative matrix unchanged compared with direct solution. The calculation program is generally simple, and the convergence speed is fast for many problems. By solving the two-point boundary value problem in the physical model, some numerical values are obtained to compare the iterative effects of the two iterative methods. This paper verifies some existing conclusions based on the Jacobian iterative method, and uses the designed program to solve the problem of equations.

KEYWORDS

Jacobian iterative method, Nonlinear differential equation, differential equation

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