نتایج جستجو برای: singular partial differential equations with variable coefficients

تعداد نتایج: 9541215  

Journal: :Symmetry 2015
Mina B. Abd-el-Malek Amr M. Amin

In this study, the Lie group method for constructing exact and numerical solutions of the generalized time-dependent variable coefficients Burgers’, Burgers’–KdV, and KdV equations with initial and boundary conditions is presented. Lie group theory is applied to determine symmetry reductions which reduce the nonlinear partial differential equations to ordinary differential equations. The obtain...

Journal: :Communications of the Korean Mathematical Society 2003

2008
YIFEI PAN

We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the order of singularities of the coefficients and provide examples to illustrate the results. 1. Results and examples Classical results on the existence and uniqueness of ordinary differential equations are mostly concerned with continuous coeffici...

Journal: :Journal of Mathematical Analysis and Applications 2023

We investigate existence and regularity of weak solutions a 1-dimensional parabolic differential equation with non-constant Hölder diffusion coefficient rough forcing term. Such an appears in studying the Ericksen-Leslie model for nematic liquid crystals where our result applies. The presented here uses continuity which comes from physical background analysis model. Moreover, dependence exponen...

A. Tari

In this paper, we apply the differential transform (DT) method for finding approximate solution of the system of linear and nonlinear Volterra integro-differential equations with variable coefficients, especially of higher order. We also obtain an error bound for the approximate solution. Since, in this method the coefficients of Taylor series expansion of solution is obtained by a recurrence r...

2009
YIFEI PAN MEI WANG

We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the order of singularities of the coefficients and provide examples to illustrate the results. 1. Results and examples Classical results on the existence and uniqueness of ordinary differential equations are mostly concerned with continuous coeffici...

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