Abstract

Generally a range of equation solvers for estimating the solution of an equation contain the derivative of first or higher order. Such solvers are difficult to apply in the instances of complicated functional relationship. The equation solver proposed in this paper meant to solve many of the involved complicated problems and establishing a process tending towards a higher ordered by alloying the already proved conventional methods like Newton-Raphson method (N-R), Regula Falsi method (R-F) & Bisection method (BIS). The present method is good to solve those nonlinear and transcendental equations that cannot be solved by the basic algebra. Comparative analysis are also made with the other racing formulas of this group and the result shows that present method is faster than all such methods of the class.

Highlights

  • Many of the functional problem of type f (x) = 0 appears in the theory of basic sciences for a perceptible solution

  • The conventional methods like Bisection method, Regula falsi method and Newton-Raphson method are among the most general methods used for this purpose [1,2,3,4,5,6]

  • Regula-Falsi method is the improvement of Bisection method

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Summary

INTRODUCTION

Many of the functional problem of type f (x) = 0 appears in the theory of basic sciences for a perceptible solution. Such equations appear in a convoluted mode possessing the partial and non-partial involvement of non algebraic and transcendental terms. They found difficulty in solving by the usual procedure of mathematics. In such cases, the Numerical methods are the only provision to deal such equations.

Bisection method
Regula-Falsi method
Newton-Raphson method
FORMULA DERIVATION
PROCESS ALGORITHM
NUMERICAL RESULTS AND DISCUSSIONS
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