A Modified Trapezoidal Technique with Improved Accuracy of Nonlinear Algebraic and Transcendental Equations

Abstract

For the purpose of evaluating numerical integration, a modified trapezoidal rule is presented in this paper; the proposed method appears to be an effective modification of the trapezoidal rule, which consists of the arithmetic mean of subintervals, while the proposed method uses the arithmetic mean and heronian mean at the subintervals. Compared to the original trapezoidal rule, this rule has a higher accuracy. Utilizing numerical experiments on the basis of local truncation error, the modified and original trapezoidal rules are compared