Nonlinear second-order impulsive differential problems with dependence on the derivative via variational structure
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DOI: 10.1007/s11784-019-0754-3
Abstract: In this paper we use variational methods and fixed point theorems to study the existence of solutions to a boundary value problem for impulsive differential equations with nonlinear dependence on the derivative. read more here.
Keywords: impulsive differential; second order; differential problems; dependence derivative ... See more keywords
Dealing with Functional Coefficients Within Tau Method
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DOI: 10.1007/s11786-018-0331-y
Abstract: The spectral tau method was originally proposed by Lanczos for the solution of linear differential problems with polynomial coefficients. In this contribution we present three approaches to tackle integro-differential equations with non-polynomial coefficients: (i) making… read more here.
Keywords: coefficients within; tau method; method; functional coefficients ... See more keywords
Continuous-Stage Runge–Kutta Approximation to Differential Problems
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DOI: 10.3390/axioms11050192
Abstract: In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge–Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretation in… read more here.
Keywords: continuous stage; runge kutta; differential problems; stage runge ... See more keywords