New Exact Solutions for New Model Nonlinear Partial Differential Equation by A. Maher, H. M. El-Hawary, M. S. Al-Amry

Get full text

Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations by Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi

Get full text

Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients by Vladislav V. Kravchenko, Josafath A. Otero, Sergii M. Torba

Get full text

Optimal Combination of EEFs for the Model Reduction of Nonlinear Partial Differential Equations by Jun Shuai, Xuli Han

“…However, the neglectful modes representing only a tiny amount of energy will be crucial in the modeling for certain type of nonlinear partial differential equations (PDEs). In this paper, an optimal combination of EEFs is proposed for model reduction of nonlinear partial differential equations (PDEs), obtained by the basis function transformation from the initial EEFs. …”
Get full text

Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus by Abd El-Monem A. Megahed, H. F. A. Madkour

“…In this paper, we studied a zero-sum game described by the partial differential equations as an application on Coronavirus. …”
Get full text

On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations by ElHassan ElJaoui, Said Melliani

“…We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara differentiability.…”
Get full text

Applications of the neuro-evolutionary approach to the parabolic type partial differential equations by Waseem, Asad Ullah, Emad A.A. Ismail, Fuad A. Awwad

“…This work aims to investigate the Cuckoo search-active set algorithm (CS-ASA), which is based on the artificial neural network (ANN) approach to the nonlinear partial differential equations (PDEs). CS-ASA technique modifies the Cuckoo search best possible solution to the next stage. …”
Get full text

Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations by Xavier Barrachina, J. Alberto Conejero

Get full text

Boundary value problems for partial differential equations with piecewise contant delay by Joseph Wiener

Subjects: “…partial differential equation…”
Get full text

Oscillation Properties for Second-Order Partial Differential Equations with Damping and Functional Arguments by Run Xu, Yuhua Lu, Fanwei Meng

“…Using an integral averaging method and generalized Riccati technique, by introducing a parameter β≥1, we derive new oscillation criteria for second-order partial differential equations with damping. The results are of high degree of generality and sharper than most known ones.…”
Get full text

On the Parametric Stokes Phenomenon for Solutions of Singularly Perturbed Linear Partial Differential Equations by Stéphane Malek

“…We study a family of singularly perturbed linear partial differential equations with irregular type in the complex domain. …”
Get full text

Stationary in Distributions of Numerical Solutions for Stochastic Partial Differential Equations with Markovian Switching by Yi Shen, Yan Li

“…We investigate a class of stochastic partial differential equations with Markovian switching. By using the Euler-Maruyama scheme both in time and in space of mild solutions, we derive sufficient conditions for the existence and uniqueness of the stationary distributions of numerical solutions. …”
Get full text

Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations by Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu

“…This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in the form of a series whose components are computed by applying a recursive relation. …”
Get full text

The decomposition method for linear, one-dimensional, time-dependent partial differential equations by D. Lesnic

“…The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. …”
Get full text

Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order by Veyis Turut, Nuran Güzel

“…Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. …”
Get full text

Boundary value problems for second-order partial differential equations with operator coefficients by Eberhard Schock, Kudratillo S. Fayazov

Get full text

Existence and forms of entire solutions to system of non-linear partial differential equations by Abhijit Banerjee, Jhuma Sarkar

Get full text

Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations by Hassan Eltayeb, Adem Kılıçman

“…We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). …”
Get full text

Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications by Maria Gandarias, Mariano Torrisi, Maria Bruzón, Rita Tracinà, Chaudry Masood Khalique

Get full text

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations by Lucas Jódar

“…In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.…”
Get full text