Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations by Jagdev Singh, Devendra Kumar, Adem Kılıçman

Get full text

Redistribution of Nodes with Two Constraints in Meshless Method of Line to Time-Dependent Partial Differential Equations by Jafar Biazar, Mohammad Hosami

“…Meshless method of line is a powerful device to solve time-dependent partial differential equations. In integrating step, choosing a suitable set of points, such as adaptive nodes in spatial domain, can be useful, although in some cases this can cause ill-conditioning. …”
Get full text

Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn by Mohammad Mujalli Al-Mahameed

“…We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.…”
Get full text

A Hybrid Natural Transform Homotopy Perturbation Method for Solving Fractional Partial Differential Equations by Shehu Maitama

“…Exact solution of linear and nonlinear fractional partial differential equations is successfully obtained using the analytical method.…”
Get full text

On the Bivariate Spectral Homotopy Analysis Method Approach for Solving Nonlinear Evolution Partial Differential Equations by S. S. Motsa

“…This paper presents a new application of the homotopy analysis method (HAM) for solving evolution equations described in terms of nonlinear partial differential equations (PDEs). The new approach, termed bivariate spectral homotopy analysis method (BISHAM), is based on the use of bivariate Lagrange interpolation in the so-called rule of solution expression of the HAM algorithm. …”
Get full text

Barcode Location in Financial Statement System Based on the Partial Differential Equation Image Recognition Algorithm by Jinghua Ning, Song Yu

“…This paper studies the problem of the barcode image location and recognition in the financial statement system and tries to apply the partial differential equation image recognition algorithm to the barcode location in the financial statement system. …”
Get full text

Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem by Jing Niu, Ping Li

Get full text

Meshless Technique for the Solution of Time-Fractional Partial Differential Equations Having Real-World Applications by Mehnaz Shakeel, Iltaf Hussain, Hijaz Ahmad, Imtiaz Ahmad, Phatiphat Thounthong, Ying-Fang Zhang

“…In this article, radial basis function collocation scheme is adopted for the numerical solution of fractional partial differential equations. This method is highly demanding because of its meshless nature and ease of implementation in high dimensions and complex geometries. …”
Get full text

Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations by B. A. Jacobs, C. Harley

“…A computationally efficient hybridization of the Laplace transform with two spatial discretization techniques is investigated for numerical solutions of time-fractional linear partial differential equations in two space variables. The Chebyshev collocation method is compared with the standard finite difference spatial discretization and the absolute error is obtained for several test problems. …”
Get full text

Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models by Santanu Saha Ray, Om P. Agrawal, R. K. Bera, Shantanu Das, T. Raja Sekhar

Get full text

On the Coupling of the Homotopy Perturbation Method and New Integral Transform for Solving Systems of Partial Differential Equations by E. E. Eladdad, E. A. Tarif

“…This combination allows to obtain analytic and numerical solutions for linear and nonlinear systems of partial differential equations.…”
Get full text

Semisupervised Association Learning Based on Partial Differential Equations for Sparse Representation of Image Class Attributes by Wei Song, Guang Hu, Liuqing OuYang, Zhenjie Zhu

“…In this paper, we propose a multitask multiview semisupervised learning model based on partial differential equation random field and Hilbert independent standard probability image genus attribute model, i.e., shared semantics. …”
Get full text

Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces by Bo Zhu, Baoyan Han, Xiangyun Lin

“…In this paper, we consider a class of nonlinear time fractional partial differential equations with delay. We obtain the existence and uniqueness of the mild solutions for the problem by the theory of solution operator and the general Banach contraction mapping principle. …”
Get full text

Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

Subjects: Get full text

Balancing the Potential Gauging Process Applied to Wave Propagation for Arbitrary Space-Times by Thomas Reum

Subjects: Get full text

Image Enhancement of Cross-Border E-Commerce Logistics Video Surveillance Based on Partial Differential Equations by Xiaosheng Yu, Peili Wu

“…This paper introduces partial differential equations into the video surveillance image enhancement system of cross-border e-commerce logistics. …”
Get full text

Image Recognition of Pledges of Capital Stock in Small- and Medium-Sized Enterprises Based on Partial Differential Equations by Dehui Zhou

“…In this paper, we propose a partial differential equation-based image recognition method for SME financing inventory pledges and conduct detailed analysis and experiments. …”
Get full text

Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation by Xiaofeng Yang

“…The evolutionary diffusion method based on partial differential equations is helpful to improve the quality of noisy tourist street scene images. …”
Get full text

Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method by Shailesh A. Bhanotar, Mohammed K. A. Kaabar

“…In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. …”
Get full text

Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type by M. Denche, A. L. Marhoune

“…We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. …”
Get full text