main-content

## Journal of Applied Mathematics and Computing OnlineFirst articles

30.11.2021 | Original Research

### An approximation solution of linear Fredholm integro-differential equation using Collocation and Kantorovich methods

In this work, we construct two numerical approximations methods to deal with approximations of a linear Fredholm integro-differential equation. In order to show the existence and uniqueness of the solution we start by the reformulation of the …

Autoren:
Boutheina Tair, Hamza Guebbai, Sami Segni, Mourad Ghiat

29.11.2021 | Original Research

Quasi-polycyclic (QP for short) codes over a finite chain ring R are a generalization of quasi-cyclic codes, and these codes can be viewed as an R[x]-submodule of $${\mathcal {R}}_m^{\ell }$$ R m ℓ , where $${\mathcal {R}}_m:= R[x]/\langle … Autoren: Rongsheng Wu, Minjia Shi, Patrick Solé 29.11.2021 | Original Research ### A hybrid numerical scheme for singular perturbation delay problems with integral boundary condition In this article, a singular perturbation delay problem of convection–diffusion (C–D) type having an integral boundary condition is considered. The analytical solution of the considered problem has a weak interior layer in addition to the boundary … Autoren: Amit Sharma, Pratima Rai 29.11.2021 | Original Research ### A two-gird method for finite element solution of parabolic integro-differential equations In this paper, we study the unconditional convergence and error estimates of a two-grid finite element method for the semilinear parabolic integro-differential equations. By using a temporal-spatial error splitting technique, optimal$$L^p$$L p … Autor: Keyan Wang 26.11.2021 | Original Research ### Linear codes with eight weights over In this article, based on the defining set$$D=\{x\in \mathbb {F}_{p^m}^*:Tr(x)=0\}$$D = { x ∈ F p m ∗ : T r ( x ) = 0 } , we explore the Lee-weight distribution of linear codes$${\mathcal {C}}_D=\{(tr(ax^2))_{x\in D}:a\in \mathbb …

Autoren:
Lin Sok, Gang Qian

24.11.2021 | Original Research

### Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model

The aim of this work is to formulate and analyze nonstandard finite difference (NSFD) schemes for a recognized virus-patch dynamic model. We introduce a simple and efficient approach to study the global asymptotic stability (GAS) of the …

Autor:
Manh Tuan Hoang

24.11.2021 | Original Research

### Extinction and stationary distribution of a stochastic SIQR epidemic model with demographics and non-monotone incidence rate on scale-free networks

By taking full consideration of contact heterogeneity of individuals, quarantine measures, demographics, information transmission and random environments, we present a stochastic SIQR epidemic model with demographics and non-monotone incidence …

Autoren:
Yuncheng Xu, Xiaojun Sun, Hua Hu

19.11.2021 | Original Research

### Operator splitting scheme based on barycentric Lagrange interpolation collocation method for the Allen-Cahn equation

In this paper, we consider the operator splitting scheme based on barycentric Lagrange interpolation collocation method for the two-dimensional Allen-Cahn equation. The original problem is split into linear and nonlinear subproblems: the linear …

Autoren:
Yangfang Deng, Zhifeng Weng

18.11.2021 | Original Research

### A coupled system involving nonlinear fractional q-difference stationary Schrödinger equation

In this paper, we investigate the solvability for a coupled system involving nonlinear fractional q-difference stationary Schrödinger equation. The existence criterion of solutions is established by Schauder fixed point theorem, while the …

Autoren:
Zhongyun Qin, Shurong Sun

18.11.2021 | Original Research

### Energy of interval-valued fuzzy graphs and its application in ecological systems

Many papers have been published for finding eigenvalues and eigenvectors of a fuzzy matrix (FM) (i.e. matrix with membership values) as well a fuzzy graph. But, all papers determine such parameters based on conventional arithmetic operators …

Autoren:
Napur Patra, Sanjib Mondal, Madhumangal Pal, Sukumar Mondal

17.11.2021 | Original Research

In this paper, we introduce the Merrifield-Simmons vector defined at a path of corresponding double hexagonal (benzenoid) chain. By utilizing this vector, we present reduction formulae to compute the Merrifield-Simmons index $$\sigma ({\mathcal … Autoren: Mert Sinan Oz, Ismail Naci Cangul 17.11.2021 | Original Research ### Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space A finite difference scheme along with a fourth-order approximation is examined in this article for finding the solution of time-fractional diffusion equation with fourth-order derivative in space subject to homogeneous and non-homogeneous boundary … Autoren: Sadia Arshad, Mubashara Wali, Jianfei Huang, Sadia Khalid, Nosheen Akbar 16.11.2021 | Original Research ### Enumeration of -double cyclic codes In this paper, we study enumeration formulas of$${\mathbb {Z}}_4$$Z 4 -double cyclic codes. We give the enumerations of separable$${\mathbb {Z}}_4$$Z 4 -double cyclic codes and a class of non-separable$${\mathbb {Z}}_4$$Z 4 -double cyclic … Autoren: Tian Wu, Jian Gao 14.11.2021 | Original Research ### Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation The present paper is devoted to identifying the space-dependent source term and initial value simultaneously for a time-fractional diffusion equation. This inverse problem is reformulated on the basis of Fourier method as operator equations of the … Autoren: Jin Wen, Zhuan-Xia Liu, Chong-Wang Yue, Shi-Juan Wang 12.11.2021 | Original Research ### Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation The objective of this paper is to find the numerical solution of two-dimensional multi-term time fractional mobile-immobile equation. The proposed technique is based on the arbitrary-order orthogonal spline collocation method for the spatial … Autoren: Leijie Qiao, Da Xu, Zhibo Wang 10.11.2021 | Original Research ### Multi-inertial parallel hybrid projection algorithm for generalized split null point problems In this paper we suggest a theoretical framework to study the generalized split null point problem (GSNPP) via a multi-step inertial based parallel hybrid projection algorithm in Hilbert spaces. The architecture and the suitable set of control … Autoren: Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Olaniyi S. Iyiola 09.11.2021 | Original Research ### Unidirectional solid burst correcting integer codes In this paper, we present a class of integer code capable of correcting unidirectional solid bursts. A brief implementation in a quad core processor is discussed along with its memory consumption. Further, a comparison is done with linear codes … Autoren: Nabin Kumar Pokhrel, Pankaj Kumar Das 09.11.2021 | Original Research ### Optimality and duality for second-order interval-valued variational problems The paper studies the second-order interval-valued variational problem under$$\eta $$η -bonvexity assumptions and proves the necessary optimality conditions. We investigate the functional which is$$\eta $$η -bonvex but not invex. Further, we … Autoren: Vivek Dhingra, N. Kailey 03.11.2021 | Original Research ### Iterative oscillation criteria for first-order difference equations with non-monotone advanced arguments Consider the first-order linear advanced difference equation of the form$$\begin{aligned} \nabla x(n)-q(n)x(\sigma (n))=0, \qquad n\in {\mathbb {N}}, \end{aligned}$$∇ x ( n ) - q ( n ) x ( σ ( n ) ) = 0 , n ∈ N , where$$(q(n))_{n\ge 1}$$( q ( … Autoren: Emad R. Attia, George E. Chatzarakis 03.11.2021 | Original Research ### An epidemic model with transport-related infection incorporating awareness and screening In this paper, an SWEIQR epidemic model with transport-related infection is proposed. The model considers inter-patch travel with entry-departure screening. The reproduction number,$$R_{ed}^\phi  R ed ϕ , is computed and analyzed with respect …

Autoren:
Assefa Denekew Zewdie, Sunita Gakkhar