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Power Series Solution

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.
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A Primer on Series Solutions

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.
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Series Solution of Stochastic HJB Equations

2019 IEEE 58th Conference on Decision and Control (CDC), 2019
We consider infinite horizon, stochastic, smooth optimal control problems in continuous time where the coefficients of the white Gaussian noise terms in the dynamics vanish at the origin. We show how the Taylor polynomials of the optimal cost and the optimal feedback can be computed degree by degree. This is a generaliztion of the work of Al’brekht who
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Power series solutions for the KPP equation

Numerical Algorithms, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Optimal Solutions to AND/OR Series-Parallel Graphs

Journal of the ACM, 1971
Richard Simon, Richard C. T. Lee
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Series Solutions of Bôcher Equations

Journal of Mathematics and Physics, 1961
Moon, Parry, Eberle Spencer, Domina
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Series Solutions

1996
Darren Redfern, Edgar Chandler
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Laplace residual power series method for the numerical solution of time-fractional Newell–Whitehead–Segel model

International Journal of Numerical Methods for Heat and Fluid Flow, 2023
Xiankang Luo, Muhammad Nadeem
exaly  

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