Applied and Computational Mathematics

Volume 9, Issue 3, June 2020

  • Thermal Conductivity Equations via the Improved Adomian Decomposition Methods

    Ashenafi Gizaw Jije

    Issue: Volume 9, Issue 3, June 2020
    Pages: 30-55
    Received: 01 April 2020
    Accepted: 11 May 2020
    Published: 27 May 2020
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    Abstract: Several mathematical models that explain natural phenomena are mostly formulated in terms of nonlinear differential equations. Many problems in applied sciences such as nuclear physics, engineering, thermal management, gas dynamics, chemical reaction, studies of atomic structures and atomic calculations lead to singular boundary value problems and ... Show More
  • The G'/G2 - Expansion Method for Solving Fractional Burgers - Fisher and Burgers Equations

    Abaker A. Hassaballa

    Issue: Volume 9, Issue 3, June 2020
    Pages: 56-63
    Received: 18 April 2020
    Accepted: 12 May 2020
    Published: 27 May 2020
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    Abstract: In this paper, we apply G’/G2-Expansion method to discover a strategy for the approximate solution of the generalized fractional Burger-Fisher equation and fractional Burger equation. The given fractional Burger-Fisher and burger equation through substitution are converted into nonlinear ordinary differential equations, in the sense of the Jumarie’... Show More
  • Approximating Solutions of Non Linear First Order Abstract Measure Differential Equations by Using Dhage Iteration Method

    Dnyanoba Maroti Suryawanshi, Sidheshwar Sangram Bellale, Pratiksha Prakash Lenekar

    Issue: Volume 9, Issue 3, June 2020
    Pages: 64-69
    Received: 15 April 2020
    Accepted: 30 April 2020
    Published: 04 June 2020
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    Abstract: In this paper we have proved the approximating solutions of the nonlinear first order abstract measure differential equation by using Dhage’s iteration method. The main result is based on the iteration method included in the hybrid fixed point theorem in a partially ordered normed linear space. Also we have solved an example for the applicability o... Show More
  • Mathematical Model and Optimal Control of New-Castle Disease (ND)

    Uwakwe Joy Ijeoma, Inyama Simeon Chioma, Omame Andrew

    Issue: Volume 9, Issue 3, June 2020
    Pages: 70-84
    Received: 09 December 2019
    Accepted: 10 January 2020
    Published: 04 June 2020
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    Abstract: We formulated a five compartmental model of ND for both the ordinary and control models. We first determined the basic Reproduction number and the existence of Steady (Equilibrium) states (disease-free and endemic). Conditions for the local stability of the disease-free and endemic steady states were determined. Further, the Global stability of the... Show More
  • Heuristic Algorithms of Coincidence for the Estimation of Movements in Compression of Images

    Fernando José Hernández Gómez

    Issue: Volume 9, Issue 3, June 2020
    Pages: 85-95
    Received: 14 September 2019
    Accepted: 25 May 2020
    Published: 08 June 2020
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    Abstract: The NP-Completeness theory states that exact and efficient algorithms are unlikely to exist for the class of NP-difficult problems. One way to deal with NP hardness is to relax the optimality requirement and look for solutions instead that are close to the optimum. This is the main idea behind the approximation algorithms, which are called heuristi... Show More
  • Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change

    Bazuaye Frank Etin-Osa, Ijomah Maxwell Azubike

    Issue: Volume 9, Issue 3, June 2020
    Pages: 96-101
    Received: 03 October 2019
    Accepted: 26 May 2020
    Published: 08 June 2020
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    Abstract: Mathematical modeling is a very powerful tool for the study and understanding of the climate system. Modern climate models used in different applications are derived from a set of many-dimensional nonlinear differential equations in partial derivatives. The Climate models contain a wide number of model parameters that can describe external forcing ... Show More
  • Some Metric Properties of Semi-Regular Equilateral Nonagons

    Nenad Stojanovic

    Issue: Volume 9, Issue 3, June 2020
    Pages: 102-107
    Received: 14 May 2020
    Accepted: 02 June 2020
    Published: 17 June 2020
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    Abstract: A simple polygon that either has equal all sides or all interior angles is called a semi-regular nonagon. In terms of this definition, we can distinguish between two types of semi-regular polygons: equilateral polygons (that have equal all sides and different interior angles) and equiangular polygons (that have equal interior angles and different s... Show More