فهرس المقالات Two-point method

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  1 - Dynamical ‎C‎ontrol of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear ‎Equations
  M. A. Fariborzi ‎Araghi‎ E. Zarei‎
  One of the considerable discussions for solving the nonlinear equations is to find the optimal iteration, and to use a proper termination criterion which is able to obtain a high accuracy for the numerical solution. In this paper, for a certain class of the family of op أکثر

  One of the considerable discussions for solving the nonlinear equations is to find the optimal iteration, and to use a proper termination criterion which is able to obtain a high accuracy for the numerical solution. In this paper, for a certain class of the family of optimal two-point methods, we propose a new scheme based on the stochastic arithmetic to find the optimal number of iterations in the given iterative solution and obtain the optimal solution with its accuracy. For this purpose, a theorem is proved to illustrate the accuracy of the iterative method and the CESTAC$^1$\footnote{$^1$Controle et Estimation Stochastique des Arrondis de Calculs} method and CADNA$^2$\footnote{$^2$Control of Accuracy and Debugging for Numerical Application} library are applied which allows us to estimate the round-off error effect on any computed result. The classical criterion to terminate the iterative procedure is replaced by a criterion independent of the given accuracy ($\epsilon$) such that the best solution is evaluated numerically, which is able to stop the process as soon as a satisfactory informatical solution is obtained. Some numerical examples are given to validate the results and show the efficiency and importance of using the stochastic arithmetic in place of the floating-point ‎arithmetic.‎ تفاصيل المقالة
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  2 - Comparison of One-point and Two-point Methods for Estimation of Infiltration Parameters in Furrow Irrigation
  جواد جعفری فرشید تاران رضا دلیر حسن نیا امیر حسین ناظمی
  Infiltration is one of the most important hydraulic parameters affecting surface irrigation and one ofthe most difficult parameters in practical field determinations. The infiltration equations are used todescribe water flow hydraulics and surface irrigation systems des أکثر

  Infiltration is one of the most important hydraulic parameters affecting surface irrigation and one ofthe most difficult parameters in practical field determinations. The infiltration equations are used todescribe water flow hydraulics and surface irrigation systems design. But determination of theparameters in these equations are costly and time consuming. Therefore, some estimating methods areused for this purpose. In this study , three inflow-outflow (as the base method), Shepard et al.’s onepointmethod and Elliot and Walker two-point method were used to determine the parameters of theinfiltration equations. By comparing with the inflow-outflow method, the accuracy of the one pointand two point methods were evaluated for volumetric determination infiltrated water. For this purpose,the collected data from 201C1 and 201E sugarcane farms in Haft-Tappeh with furrow irrigationsystem were analyzed. The data were collected under different inflow rates and furrow lengths. Theresults showed that the Elliot and Walker two-point method with relative errors of 8.08 percent for201C1 farm and 12.85 percent for 201E farm had more accuracy in relation to the Shepard et al.’s onepointmethod with in estimation of cumulative infiltration depth. This method had also moresatisfactory results with relative errors of 4.03 percent and 6.41 percent for 201C1 and 201E farms,respectively. تفاصيل المقالة