-
301
A Numerical Assessment of Time-Dependent Magneto-Convective Thermal-Material Transfer over a Vertical Permeable Plate
Published 2023-01-01“…The nondimensional partial differential equations of continuity, momentum, energy, and concentration are discussed using appropriate transformations. …”
Get full text
Article -
302
A new finite difference algorithm for boundary value problems involving transmission conditions
Published 2022-12-01“…The finite difference method (FDM) is used to find an approximate solution to ordinary and partial differential equations of various type using finite difference equations to approximate derivatives. …”
Get full text
Article -
303
Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method
Published 2008-01-01“…The results show that the homotopy analysis method is an attractive method in solving the systems of nonlinear partial differential equations.…”
Get full text
Article -
304
Function Spaces with a Random Variable Exponent
Published 2011-01-01“…After discussing the properties of the spaces 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.…”
Get full text
Article -
305
Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator
Published 2012-01-01“…The main idea of this method is based on the analysis of dual singular points of investigated equations and passage in the space of the larger dimension, what reduces to study of systems of first-order partial differential equations with incomplete initial data.…”
Get full text
Article -
306
Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow
Published 2014-01-01“…We discuss the line partial differential equations arising in fractal vehicular traffic flow. …”
Get full text
Article -
307
New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations
Published 2015-01-01“…Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.…”
Get full text
Article -
308
Substantiation of asymptotical solution of weakly nonlinear hyperbolic system
Published 2023-09-01“… A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. …”
Get full text
Article -
309
New Iterative Method: An Application for Solving Fractional Physical Differential Equations
Published 2013-01-01“…The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which con firm the power, accuracy, and simplicity of the given method compared with some of the other methods.…”
Get full text
Article -
310
Nonstationary Fronts in the Singularly Perturbed Power-Society Model
Published 2013-01-01“…The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. …”
Get full text
Article -
311
Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow
Published 2022-01-01“…In this paper, we will study the existence of strong solutions for a nonlinear system of partial differential equations arising in convective flow, modeling a phenomenon of mixed convection created by a heated and diving plate in a porous medium saturated with a fluid. …”
Get full text
Article -
312
Asian Option Pricing with Monotonous Transaction Costs under Fractional Brownian Motion
Published 2013-01-01“…The method of partial differential equations was used to solve this model and the analytical expressions of the Asian option value were obtained. …”
Get full text
Article -
313
Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
Published 2002-01-01“…Exploiting the dynamical symmetry of the pricing partial differential equations of the financial derivatives, the new method enables us to derive analytical closed-form pricing formulae very straightforwardly. …”
Get full text
Article -
314
A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation
Published 2014-01-01“…We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. …”
Get full text
Article -
315
A therapy inactivating the tumor angiogenic factors
Published 2012-11-01“…This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds to the tumor angiogenic factors. …”
Get full text
Article -
316
The Small Time Asymptotics of SPDEs with Reflection
Published 2014-01-01“…We study stochastic partial differential equations with singular drifts and with reflection, driven by space-time white noise with nonconstant diffusion coefficients under periodic boundary conditions. …”
Get full text
Article -
317
Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials
Published 2025-01-01“…Several summation formulas for these polynomials are explored, and their operational identities are obtained using partial differential equations. The corresponding results for Hermite–Lambda polynomials are also obtained. …”
Get full text
Article -
318
Application of Conformable Sumudu Decomposition Method for Solving Conformable Fractional Coupled Burger’s Equation
Published 2021-01-01“…It is an approximate analytical method, which can be used to solve linear and nonlinear partial differential equations. In this work, one-dimensional conformable functional Burger’s equation has been solved by applying conformable double Sumudu decomposition. …”
Get full text
Article -
319
Degenerate Differential Operators with Parameters
Published 2007-01-01“…In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for systems of elliptic equations with parameters on cylindrical domain are studied.…”
Get full text
Article -
320
Gluing for the Einstein constraint equations
Published 2025-01-01“…Initial data for the Einstein equations must satisfy a system of nonlinear partial differential equations, the Einstein constraint equations. …”
Get full text
Article
