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Weerakoon-Fernando Method (WFM) is a widely accepted third order iterative method introduced
in the late 1990s to solve nonlinear equations. Even though it has become so popular among numerical
analysts resulting in hundreds of similar work for single variable case, after nearly two decades, nobody took
the challenge of extending the method to multivariable systems. In this paper, we extend the WFM to
functions of several variables and provide a rigorous proof for the third order convergence. This theory was
supported by computational results using several systems of nonlinear equations. Computational algorithms
were implemented using MATLAB. We further analyse the method mathematically and demonstrate the
reason for the strong performance of WFM computationally, despite it requiring more function evaluations.
