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Mathematics in Computational Science and Engineering


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all necessities at least expense.

      1.5.1 Future Research

      EOQ Inventory model engages to keep a track on the nonappearance of substance due to imprudence and theft. There is a more prominent possibility of carelessness and stealing if inventory has not been done in the right way. Company Inventory model will be helpful if those concepts are implemented and it shows an indication of what stage of sales to count on. EOQ models are utilized to choose the ideal inventory policy when the demand is deterministic and the top-quality ordering or manufacturing amount are prompted by using Parameters of prices. These models are used to the Inventory part size that cut-off points Inventory extraordinary cost. Mathematical assessment and generation have shown that it uses the resources and even more gainfully achieves the most extraordinary advantages and can improve shopper reliability. In association’s Inventory the executive circumstance will be more apex. The main goal is to limit selling cost and process duration cost out of all business benefit and these were represented by using mathematical models. In this three-methodologies Brownian movement are established by Trapezoidal Rule. These results are showed in Brownian Path and found by the outside measure. Subsequently it is Fractals.

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      1 *Corresponding author: [email protected]

      2

      Ill-Posed Resistivity Inverse Problems and its Application to Geoengineering Solutions

       Satyendra Narayan*

       Department of Applied Computing, Faculty of Applied Science and Technology, Sheridan Institute of Technology and Advanced Learning, Oakville, Ontario, Canada

       Abstract

      The most important physical properties to study ill-posed inverse problems in physical sciences are electrical conductivity, magnetic permeability, density, wave-velocity, elasticity parameters/modulus, and dielectric permittivity. This paper attempts electrical conductivity of the earth materials and describes some innovative approaches which have been used to solve ill-posed resistivity inverse problems encountered in mapping and monitoring geo-environmental problems.

      The paper begins with an overview of the present state of knowledge about electrical resistivity methods for mapping and monitoring in-situ processes that cannot be accessed directly. The current study indicates that a generalized mathematical approach has not been developed to investigate the sensitivity of resistivity measurements to changes in resistivity at depth. Therefore, the paper also presents a generalized mathematical formulation for sensitivity analysis and describes sensitivity of resistivity measurements. Reciprocity and perturbation analysis form the basis for the mathematical formulation, which has been extended further towards introducing multi-dimensional resistivity inversion useful for mapping and monitoring in-situ processes. A generalized multi-dimensional mathematical technique is described herein for computing numerical response over the one-dimensional (1-D), two-dimensional (2-D) and three-dimensional (3-D) resistivity models excited by a three-dimensional (3-D) point source. These problems also described as 1-D/3-D, 2-D/3-D and 3-D/3-D inverse problems in the scientific literature.