## 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 …

29.11.2021 | Original Research

### On the structure of 1-generator quasi-polycyclic codes over finite chain rings

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

17.11.2021 | Original Research

### Computing the Merrifield-Simmons indices of benzenoid chains and double benzenoid chains

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 ( …

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 …