Results 61 to 70 of about 4,191 (239)

Modified Decomposition Method with New Inverse Differential Operators for Solving Singular Nonlinear IVPs in First- and Second-Order PDEs Arising in Fluid Mechanics

International Journal of Mathematics and Mathematical Sciences, 2014
Singular nonlinear initial-value problems (IVPs) in first-order and second-order partial differential equations (PDEs) arising in fluid mechanics are semianalytically solved. To achieve this, the modified decomposition method (MDM) is used in conjunction
Nemat Dalir
doaj   +1 more source

Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications

Open Physics, 2020
In this paper, we examine conservation laws (Cls) with conformable derivative for certain nonlinear partial differential equations (PDEs). The new conservation theorem is used to the construction of nonlocal Cls for the governing systems of equation.
Qurashi Maysaa Mohamed Al
doaj   +1 more source

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu, Tao Li, Ruiqi Yuan, Yue Li, Bingni Wu, Bo Liu, Zhengding Deng, Galindo Rubén, Fausto Molina‐Gómez   +8 more
wiley   +1 more source

On some nonlinear fractional PDEs in physics

Bibechana, 2014
In this paper, we applied relatively new fractional complex transform (FCT) to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and Variational Iteration Method (VIM) is to find
Jamshad Ahmad, Syed Tauseef Mohyud-Din
doaj   +3 more sources

New applications of the fractional derivative to extract abundant soliton solutions of the fractional order PDEs in mathematics physics

Partial Differential Equations in Applied Mathematics
The motive of this research work is to unravel the mysteries of nature through fractional-order partial differential equations (PDEs). Here, we focus on two important fractional order nonlinear PDEs, namely the fractional order (4+1)-dimensional Fokas ...
M. Ashik Iqbal, M. Mamun Miah, H. M. Shahadat Ali, Nur Hasan Mahmud Shahen, Ahmed Deifalla   +4 more
doaj   +1 more source

Logarithmic Sobolev inequalities for some nonlinear PDE's

Stochastic Processes and their Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, EarlyView.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Pure Fractional Optimal Control of Partial Differential Equations: Nonlinear, Delay and Two-Dimensional PDEs

Pan-American Journal of Mathematics
Novel methods for solving the optimal control problems of different and new types of the fractional partial differential equations (PDEs) as: nonlinear PDEs, delay PDEs, and two-dimensional PDEs, are introduced in this paper.
Iman Malmir
doaj   +1 more source

Solutions of Smooth Nonlinear Partial Differential Equations

Abstract and Applied Analysis, 2011
The method of order completion provides a general and type-independent theory for the existence and basic regularity of the solutions of large classes of systems of nonlinear partial differential equations (PDEs). Recently, the application of convergence
Jan Harm van der Walt
doaj   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source