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Solving Two-Point Boundary Value Problems of Fractional Differential Equations
Caputo抯 derivatives Riemann-Liouville Derivatives Fractional differential equation Twopointboundary value problem Existence and uniqueness Single shooting method
2012/8/8
We solve four kinds of two-point boundary value problems of fractional differential equations with
Caputo抯 derivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
Multiscale Asymptotic Expansion and Finite Element Methods For the Mixed Boundary Value Problems of Second Order Elliptic Equation in Perforated Domains
Homogenization Multiscale asymptotic expansion Elliptic equationof second order with rapidly oscillating coefficients Perforated domain
2012/8/8
In this paper, we will discuss the mixed boundary value problems for
the second order elliptic equation with rapidly oscillating coefficients in perforated
domains, and will present the higher-order...
Time-Spectral Solution of Initial-Value Problems—Subdomain Approach
Initial-Value Problem Multiple Time Scales Time-Spectral Spectral Method Weighted Residual Method Subdomains Domain Decomposition
2013/1/30
Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), i...
Mean value properties of harmonic functions on Sierpinski gasket type fractals
Sierpinski gasket Laplacian harmonic function mean value property analysis on fractals
2012/6/27
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Further...
Stability and contagion measures for spatial extreme value analyses
Stability and contagion measures spatial extreme value analyses Statistics Theory
2012/6/25
As part of global climate change an accelerated hydrologic cycle (including an increase in heavy precipitation) is anticipated. So, it is of great importance to be able to quantify high-impact hydrolo...
Effects of Dietary Potential Acid Production Value on Productivity in Dairy Cows
Potential Acid Production Value (PAPV) TMR Metabolic Disease Ruminal Fermentation Milk Yield Dairy Cow
2016/5/10
This study was conducted to estimate the potential acid production value (PAPV) of major diets and to determine the relationship between dietary PAPV and dairy production traits. Estimation of PAPV of...
The Algebro-Geometric Initial Value Problem for the Ruijsenaars-Toda Hierarchy and Quasi-Periodic Solutions
Ruijsenaars-Toda hierarchy complex-valued algebro-geometric solutions hyperelliptic curve Dubrovin-type equation Baker-Akhiezer vector
2012/4/27
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperellip...
An Appraisal of Selected Properties and Nutritional Value of Geophagic Materials from Swaziland and Some Areas of Eastern Cape, South Africa
Appraisal Selected Properties Nutritional Value Geophagic Materials Swaziland Some Areas Eastern Cape
2012/3/14
An Appraisal of Selected Properties and Nutritional Value of Geophagic Materials from Swaziland and Some Areas of Eastern Cape, South Africa.
Order parameter fluctuations in natural time and b-value variation before large earthquakes
Order parameter fluctuations natural time b-value variation large earthquakes Geophysics
2012/5/29
Self-similarity may stem from two origins: the process' increments infinite variance and/or process' memory. The $b$-value of the Gutenberg-Richter law comes from the first origin. In the frame of nat...
Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
Applied mathematics Minkowski space Timelike extremal surfaces Initial-boundary value problem
2011/10/15
In this paper we investigate the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space $R^{1+(1+n)}$ in the first quadrant. Under the assumptions that...
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
Dilatant non-Newtonian fluids similarity solution nonlinear boundary value problem
2011/10/13
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence and Multiplicity of Symmetric\ Positive Solutions for Three-point\ Boundary Value Problem
Symmetric positive solution Multiplicity Three-point boundary value problem Fixed point theorem Cone
2011/10/11
This paper is concerned with the existence and multiplicity ofsymmetric positive solutions for the following second-orderthree-point boundary value problem:u''(t)+a(t)f(t,u(t))=0, 0