Results 251 to 260 of about 1,362,923 (320)

Exact solutions and dynamic properties of a nonlinear fourth-order time-fractional partial differential equation

Waves in Random and Complex Media, 2022
This paper considers a fourth-order time-fractional partial differential equation with Riemann–Liouville definition. We first use the general method of separation of variables to transform the original equation into an ordinary differential equation and ...
Yue Kai, Shuangqing Chen, Kai Zhang, Zhixian Yin   +3 more
semanticscholar   +1 more source

A study on Caudrey–Dodd–Gibbon–Sawada–Kotera partial differential equation

Mathematical methods in the applied sciences, 2022
Bernoulli sub‐equation function method is applied to obtain exact solutions of Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) nonlinear partial differential equation.
H. Baskonus, A. Mahmud, K. A. Muhamad, T. Tanriverdi   +3 more
semanticscholar   +1 more source

Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability

Bulletin of the Brazilian Mathematical Society, New Series, 2018
Using Gronwall inequality we will investigate the Ulam-Hyers and generalized Ulam–Hyers–Rassias stabilities for the solution of a fractional order pseudoparabolic partial differential equation.
J. Vanterler, DA C. Sousa, E. C. Oliveira   +2 more
semanticscholar   +1 more source

Partial Differential Equations

1994
Publisher Summary Many physical and mathematical situations are described by ordinary differential equations and others are described by partial differential equations. This chapter discusses that one way to solve some partial differential equations is the method of separation of variables.
Martha L. Abell, James P. Braselton
openaire   +5 more sources

Partial Differential Equations

1986
The formation of ordinary linear differential equations and their solution by various methods were covered in some detail in Programmes 24, 25, 26 of the previous year’s work as presented in Engineering Mathematics (second edition) and reference to these sections before undertaking the new work of this programme could be beneficial—especially Programme
Jürgen Bliedtner, Wolfhard Hansen
openaire   +4 more sources

Adaptive Partial Differential Equation Observer for Battery State-of-Charge/State-of-Health Estimation Via an Electrochemical Model

, 2014
This paper develops an adaptive partial differential equation (PDE) observer for battery state-of-charge (SOC) and state-of-health (SOH) estimation. Real-time state and parameter information enables operation near physical limits without compromising ...
S. Moura, N. Chaturvedi, M. Krstić
semanticscholar   +1 more source

Partial Differential Equations

1999
Workshop ...
openaire   +3 more sources

Partial Differential Equations

2019
The field of partial differential equations is arguably the workhorse of applied mathematics. While the field is steeped with a rich and fruitful history supporting volumes of research, our modest goal is to present a couple of the standard models and to show how to solve them with introductory methods.
Allen Holder, Joseph Eichholz
  +9 more sources

Partial Differential Equations

2013
There are no strict rules for the numerical treatment of partial differential equations. We concentrate here on linear partial differential equations. As an example of elliptic partial differential equations the two-dimensional Poisson equation with Dirichlet boundary conditions is investigated.
Ewald Schachinger, Benjamin A. Stickler
openaire   +2 more sources

Partial differential equations

2011
In this chapter and the next, the solution of differential equations of types typically encountered in the physical sciences and engineering is extended to situations involving more than one independent variable. A partial differential equation (PDE) is an equation relating an unknown function (the dependent variable) of two or more variables to its ...
K. F. Riley, M. P. Hobson
openaire   +2 more sources