Results 221 to 230 of about 4,565,590 (274)

Optical soliton solutions of the unstable nonlinear Schrödinger equation. [PDF]

Sci Rep
Shabbir S, Saeed ST, Asghar U, Saleem S, Merga FE.   +4 more
europepmc   +1 more source

Computational modeling of Monte Carlo-enhanced PINNs for fractional order differential models with memory effects. [PDF]

Sci Rep
Jan H, Sulaiman M, Ahmad T, Laouini G, Ur Rahman I, Salman MA.   +5 more
europepmc   +1 more source

A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]

Sci Rep
Hafez RM, Ahmed HM, Alburaikan A, Alrajeh MAA, Khalifa HAE.   +4 more
europepmc   +1 more source

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Nonlinear Partial Differential Equations

Progress in Nonlinear Differential Equations and Their Application, 2010
In this chapter we shall show how to generalise the results of the previous chapters on finite-dimensional nonlinear systems to partial differential equations. Rather than try to cover any significant part of this vast field, we shall concentrate on two problems, since the ideas then apply to many other nonlinear distributed systems. These two problems
Yoshikazu Giga, Mi-Ho Giga, Jürgen Saal
exaly   +3 more sources

Software for Nonlinear Partial Differential Equations

ACM Transactions on Mathematical Software, 1975
The numerical solution of physically realistic nonlinear partial differential equations (PDEs) is a complicated and highly problem-dependent process which usually requires the scientist to undertake the difficult and time-consuming task of developing his own computer program to solve his problem.
Richard F. Sincovec, Niel K. Madsen
openaire   +1 more source

FOSLL* for Nonlinear Partial Differential Equations

SIAM Journal on Scientific Computing, 2015
In previous work, the first-order system LL* (FOSLL*) method was developed for linear partial differential equations. This approach seeks to minimize the residual of the equations in a dual norm induced by the differential operator, yielding approximations accurate in $L^2(\Omega)$ rather than $H^1(\Omega)$ or $H(Div)$.
Eunjung Lee, Thomas A. Manteuffel, Chad R. Westphal   +2 more
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Differential Identities for Nonlinear Partial Differential Equations

Journal of Mathematical Sciences, 2016
Summary: We obtain new algebraic analytic presentations for solutions and coefficients of nonlinear second order differential equations and systems of such equations.
Anikonov, Yu. E., Neshchadim, M. V.
openaire   +1 more source