Feb 4, 2021 · This research was mainly conducted to explore the possibility of formulating an efficient algorithm to find roots of nonlinear equations without using the ...

Oct 16, 2024 · We noticed that the FDWFM approaches the root faster than any other existing method in the absence of the derivatives as an example, the popular ...

Feb 4, 2021 · This paper describes how to construct a best suitable method leading to an efficient algorithm without the derivatives to numerically solve ...

Feb 4, 2021 · The Finite Difference Weerakoon-Fernando Method (FDWFM) will undoubtedly provide scientists the efficient numerical algorithm, that doesn't ...

We noticed that the FDWFM approaches the root faster than popular nonlinear equation solvers such as Secant method in the absence of the derivative. By ...

In comparison to the classical Newton's method, the new proposed methods do not use derivatives; furthermore only two evaluations of the function are needed per ...

Co-authors ; Finite Difference Weerakoon-Fernando Method to solve nonlinear equations without using derivatives. SL Heenatigala, S Weerakoon, TGI Fernando. arXiv ...

Weerakoon-Fernando Method (WFM) is a widely accepted third order iterative method introduced in the late 1990s to solve nonlinear equations.

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This paper extends the WFM to functions of several variables and provides a rigorous proof for the third order convergence and further analyse the method ...