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Partition Identities for Ramanujan's Third Order Mock Theta Functions
mock theta function Ramanujan's identities partition identity Fine's theorem involution
2014/6/3
We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions φ(-q) and ψ(-q). We also give an involution for Fine's partition identity on th...
Comparison of third order L_0-stable numerical schemes for the two–Dimensional homogeneous diffusion problem subject to specification of mass
Lo − stable Parabolic Problems
2010/9/21
This paper presents a numerical comparison of third order Lo − stable numerical schemes for the two-dimensional parabolic partial differential equations subject to nonlocal boundary conditions. ...
New third order Runge Kutta based on contraharmonic mean for stiff problems
ODE solver Runge-Kutta method contraharmonic mean
2010/9/10
In this paper we introduce an explicit one–step method that can be used for solving stiff problems. This method can be viewed as a modification of the explicit third order runge-kutta method using the...
Existencer result and numerical method for nonlinear third-order two-point boundary value problems
Existence Two-point boundary value conditions
2010/9/17
In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions fo...
Derivative approximation by interpolation polynomials of Bernstein type of the third kind
interpolation polynomial of Bernstein type derivative approximation
2010/9/14
In this paper, we mainly study the problems of derivative approximation of interpolation polynomials. Based on the zero nodes of the Chebyshev polynomials of the second kind, we construct an interpola...
On nonoscillation of nonhomogenous third order differential equations with damping terms
Oscillatory nonoscillatory
2010/9/10
On nonoscillation of nonhomogenous third order differential equations with damping terms.
A Numerical Method in Terms of the Third Derivative for a Delay Integral Equation from Biomathematics
Delay Integral Equation Successive approximations Perturbed trapezoidal quadrature rule
2008/7/3
This paper presents a numerical method for approximating the positive, bounded and smooth solution of a delay integral equation which occurs in the study of the spread of epidemics. We use the cubic s...
Boundedness of Solutions of a Third-Order Nonlinear Differential Equation
Differential equations of third order Boundedness
2008/7/2
Sufficient conditions are established for the boundedness of all solutions of (1.1), and we also present some sufficient conditions, which ensure that the limits of first and second order derivatives ...
New Result in the Ultimate Boundedness of Solutions of a Third-Order Nonlinear Ordinary Differential Equation
Differential equations of third order Boundedness
2008/6/30
Sufficient conditions are established for the ultimate boundedness of solutions of certain third-order nonlinear differential equations. Our result improves on Tunc's [C. Tunc, Boundedness of solution...
Note On Bernstein's Inequality For The Third Derivative Of A Polynomial
Bernstein's inequality Unit circle
2008/6/27
Note On Bernstein's Inequality For The Third Derivative Of A Polynomial.
Modelling shocks and solitons with a modified third order high resolution semi-discrete scheme for soliton and shock wave simulations
Semi-discrete hyperbolic solitons shock wave
2010/9/15
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...
The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem
third-order ordinary differential equation
2007/12/11
The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed poin...