Results 261 to 270 of about 8,556,345 (307)
Some of the next articles are maybe not open access.
2016
In this chapter we describe the series solution method for generalized Volterra integral equations and generalized Volterra integro-differential equations.
openaire +1 more source
In this chapter we describe the series solution method for generalized Volterra integral equations and generalized Volterra integro-differential equations.
openaire +1 more source
Celestial Mechanics, 1970
A means of extending the radius of convergence of a power series solution of a system of differential equations is presented. It is essentially a change of the independent variable by means of a conformal mapping. Conditions on this change of variables which should yield a computational advantage are discussed.
openaire +1 more source
A means of extending the radius of convergence of a power series solution of a system of differential equations is presented. It is essentially a change of the independent variable by means of a conformal mapping. Conditions on this change of variables which should yield a computational advantage are discussed.
openaire +1 more source
Solutions to a Problem in Power Series Reversion
SIAM Journal on Mathematical Analysis, 1975This paper presents the general solution of the following problem in two forms.Let $f(x,y)$ be defined by the formal power series $f(x,y) = \sum _{m = 0}^\infty \sum _{n = 0}^\infty f_{mn} x^m y^n $ with $f_{00} \ne 0$. If v satisfies $v(x,y) = f(xv^a ,yv^b )$, where a and b are constants, then find the formal power series expansion of $v^c(x,y ...
Goldstein, A. J., Hall, A. D.
openaire +2 more sources
A Method of Accelerating the Convergence of Series Solutions
Journal of the Franklin Institute, 1986The series solutions obtained for transport problems may fail to converge at the boundary if the problem involves non-homogeneities due to the boundary conditions. The authors develop a general splitting-up procedure for obtaining alternative solutions which accelerate the convergence.
Mikhailov, M. D., Özişik, M. N.
openaire +1 more source
2016
In this chapter, the Separation of Variables method is used to find a solution to the finite cable equation. The cable is subjected to an impulse of current at some location on the cable itself and the corresponding solution must be written as an infinite series in terms of what are called Fourier sin and cosine series.
openaire +1 more source
In this chapter, the Separation of Variables method is used to find a solution to the finite cable equation. The cable is subjected to an impulse of current at some location on the cable itself and the corresponding solution must be written as an infinite series in terms of what are called Fourier sin and cosine series.
openaire +1 more source
2015
We have already seen in 3 that the solution of differential equations of constants coefficient depends on the solutions of the associated algebraic characteristic equation. There is no similar procedure for solving linear differential equation with variable coefficients.
openaire +1 more source
We have already seen in 3 that the solution of differential equations of constants coefficient depends on the solutions of the associated algebraic characteristic equation. There is no similar procedure for solving linear differential equation with variable coefficients.
openaire +1 more source
Series Solutions for Beams on Elastic Foundations
Journal of Applied Mechanics, 1971In this paper series solutions are derived for beams on elastic foundation, subjected to a variety of end and loading conditions. These series solutions have the following advantages over the “formal” solutions of the differential equations of the corresponding problems: 1.
openaire +1 more source
Series Solutions of Bôcher Equations
Journal of Mathematics and Physics, 1961Moon, Parry, Eberle Spencer, Domina
openaire +2 more sources
On the Optimal Solutions to AND/OR Series-Parallel Graphs
Journal of the ACM, 1971Richard Simon, Richard C. T. Lee
openaire +2 more sources