Abstract: Many authors suggested methods to solve nonlinear equations. Each of these methods has its advantages and disadvantages. In this work, we chose some methods with low cost and high accuracy ...
NonlinearSystems.jl is a Julia package for solving nonlinear systems of equations and nonlinear least squares. It renovates well-trusted solution algorithms with highly performant and extensible ...
-(a(x)u'(x))' = f(x) for all x belongs to I = (0,1) a(x)u'(0) = k_0(u(0) - g_0) -a(x)u'(1) = k_1(u(1) - g_1) Which is Robin general boundry condition (BC). If k_i = 0, this implies Neumann BC (in the ...
Abstract: This paper presents a novel approach for solving the time-independent Schrödinger equation for any arbitrary potential using Physics-Informed Neural Networks (PINNs). PINNs seamlessly embed ...
Micro-bridge resonator with dielectric elastomer that is sandwiched between two electrodes is studied here with geometric and material nonlinearity. Geometric nonlinearity is introduced with ...