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  • Open Access


    Integrated Calculation of Acoustic Radiation and Propagation of Underwater Elastic Structures Based on the Simple Source Boundary Integral Equation

    Lingwen Jiang1, Mingsong Zou2,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09669

    Abstract Acoustic radiation and propagation characteristics of underwater elastic structures are an organic whole, which should be considered comprehensively. Based on the three-dimensional sono-elasticity theory of ships, the integrated calculation method of acoustic radiation and propagation in ocean environment is realized by using the simple source boundary integral equation. The correctness and accuracy of the method are verified by a series of examples. Based on the domestic supercomputer platform, the parallel transformation of the algorithm is completed, and the two-level multi-core parallel is realized, which greatly improves the computing efficiency. The application of acoustic radiation calculation More >

  • Open Access


    On Riemann-Type Weighted Fractional Operators and Solutions to Cauchy Problems

    Muhammad Samraiz1, Muhammad Umer1, Thabet Abdeljawad2,3,*, Saima Naheed1, Gauhar Rahman4, Kamal Shah2,5

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 901-919, 2023, DOI:10.32604/cmes.2023.024029

    Abstract In this paper, we establish the new forms of Riemann-type fractional integral and derivative operators. The novel fractional integral operator is proved to be bounded in Lebesgue space and some classical fractional integral and differential operators are obtained as special cases. The properties of new operators like semi-group, inverse and certain others are discussed and its weighted Laplace transform is evaluated. Fractional integro-differential free-electron laser (FEL) and kinetic equations are established. The solutions to these new equations are obtained by using the modified weighted Laplace transform. The Cauchy problem and a growth model are designed More >

  • Open Access


    Quasi Controlled -Metric Spaces over -Algebras with an Application to Stochastic Integral Equations

    Ouafaa Bouftouh1, Samir Kabbaj1, Thabet Abdeljawad2,3,*, Aziz Khan2

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2649-2663, 2023, DOI:10.32604/cmes.2023.023496

    Abstract Generally, the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dynamic models. C*-algebra is being continually used to explain a physical system in quantum field theory and statistical mechanics and has subsequently become an important area of research. The concept of a C*-algebra-valued metric space was introduced in 2014 to generalize the concept of metric space. In fact, It is a generalization by replacing the set of real numbers with a C*-algebra. After… More >

  • Open Access


    Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

    Nawab Hussain1,*, Saud M. Alsulami1, Hind Alamri1,2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2617-2648, 2023, DOI:10.32604/cmes.2023.023143

    Abstract In this paper, we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces. Furthermore, we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated with and consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations. We also establish certain interesting examples to illustrate the usability of our results. More >

  • Open Access


    Unique Solution of Integral Equations via Intuitionistic Extended Fuzzy b-Metric-Like Spaces

    Naeem Saleem1, Khalil Javed2, Fahim Uddin3, Umar Ishtiaq4, Khalil Ahmed2, Thabet Abdeljawad5,6,*, Manar A. Alqudah7

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 109-131, 2023, DOI:10.32604/cmes.2022.021031

    Abstract In this manuscript, our goal is to introduce the notion of intuitionistic extended fuzzy b-metric-like spaces. We establish some fixed point theorems in this setting. Also, we plot some graphs of an example of obtained result for better understanding. We use the concepts of continuous triangular norms and continuous triangular conorms in an intuitionistic fuzzy metric-like space. Triangular norms are used to generalize with the probability distribution of triangle inequality in metric space conditions. Triangular conorms are known as dual operations of triangular norms. The obtained results boost the approaches of existing ones in the More >

  • Open Access


    A New Modified EWMA Control Chart for Monitoring Processes Involving Autocorrelated Data

    Korakoch Silpakob1, Yupaporn Areepong1,*, Saowanit Sukparungsee1, Rapin Sunthornwat2

    Intelligent Automation & Soft Computing, Vol.36, No.1, pp. 281-298, 2023, DOI:10.32604/iasc.2023.032487

    Abstract Control charts are one of the tools in statistical process control widely used for monitoring, measuring, controlling, improving the quality, and detecting problems in processes in various fields. The average run length (ARL) can be used to determine the efficacy of a control chart. In this study, we develop a new modified exponentially weighted moving average (EWMA) control chart and derive explicit formulas for both one and the two-sided ARLs for a p-order autoregressive (AR(p)) process with exponential white noise on the new modified EWMA control chart. The accuracy of the explicit formulas was compared… More >

  • Open Access


    A Pseudo-Spectral Scheme for Systems of Two-Point Boundary Value Problems with Left and Right Sided Fractional Derivatives and Related Integral Equations

    I. G. Ameen1, N. A. Elkot2, M. A. Zaky3,*, A. S. Hendy4,5, E. H. Doha2

    CMES-Computer Modeling in Engineering & Sciences, Vol.128, No.1, pp. 21-41, 2021, DOI:10.32604/cmes.2021.015310

    Abstract We target here to solve numerically a class of nonlinear fractional two-point boundary value problems involving left- and right-sided fractional derivatives. The main ingredient of the proposed method is to recast the problem into an equivalent system of weakly singular integral equations. Then, a Legendre-based spectral collocation method is developed for solving the transformed system. Therefore, we can make good use of the advantages of the Gauss quadrature rule. We present the construction and analysis of the collocation method. These results can be indirectly applied to solve fractional optimal control problems by considering the corresponding More >

  • Open Access


    Solution and Analysis of the Fuzzy Volterra Integral Equations via Homotopy Analysis Method

    Ali. F. Jameel1,*, N. R. Anakira2, A. K. Alomari3, Noraziah H. Man1

    CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.3, pp. 875-899, 2021, DOI:10.32604/cmes.2021.014460

    Abstract Homotopy Analysis Method (HAM) is semi-analytic method to solve the linear and nonlinear mathematical models which can be used to obtain the approximate solution. The HAM includes an auxiliary parameter, which is an efficient way to examine and analyze the accuracy of linear and nonlinear problems. The main aim of this work is to explore the approximate solutions of fuzzy Volterra integral equations (both linear and nonlinear) with a separable kernel via HAM. This method provides a reliable way to ensure the convergence of the approximation series. A new general form of HAM is presented More >

  • Open Access


    RBF Based Localized Method for Solving Nonlinear Partial Integro-Differential Equations

    Marjan Uddin1, *, Najeeb Ullah2, Syed Inayat Ali Shah2

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 957-972, 2020, DOI:10.32604/cmes.2020.08911

    Abstract In this work, a numerical scheme is constructed for solving nonlinear parabolictype partial-integro differential equations. The proposed numerical scheme is based on radial basis functions which are local in nature like finite difference numerical schemes. The radial basis functions are used to approximate the derivatives involved and the integral is approximated by equal width integration rule. The resultant differentiation matrices are sparse in nature. After spatial approximation using RBF the partial integro-differential equations reduce to the system of ODEs. Then ODEs system can be solved by various types of ODE solvers. The proposed numerical scheme More >

  • Open Access


    Introduction to the Special Issue on Numerical Methods for Differential and Integral Equations

    Şuayip Yüzbaşı1,*, Kamel Al-Khaled2, Nurcan Baykuş Savaşaneril3, Devendra Kumar4

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 913-915, 2020, DOI:10.32604/cmes.2020.011225

    Abstract This article has no abstract. More >

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