Sentence examples for solution of a first-order from inspiring English sources
It is based on the solution of a first-order nonlinear PDE.
In this paper, we employ a new homotopy perturbation method to obtain the solution of a first-order inhomogeneous PDE.
As an application, we prove an existence and uniqueness result for the solution of a first-order ordinary differential equation satisfying periodic boundary conditions in the presence of either its lower or upper solution.
Numerical solution of a first-order dissipative scheme as well as an implementation of our Riemann solver in the second-order upwind method are compared with the proposed exact Riemann problem solution.
In the 'Known results' section, we recalled all of the known results for the existence of a solution of a first-order nonlinear differential equation on a finite interval of time when the forcing function is the sum of non-decreasing and non-increasing functions.
In this article, a new homotopy technique is presented for the mathematical analysis of finding the solution of a first-order inhomogeneous partial differential equation (PDE) u x ( x, y ) + a ( x, y ) u y ( x, y ) + b ( x, y ) g ( u ) = f ( x, y ).
Direction field, way of graphically representing the solutions of a first-order differential equation without actually solving the equation.
The theory is centred around the concept of monogenic functions, i.e. null solutions of a first-order vector-valued rotation invariant differential operator, called Dirac operator, which factorises the Laplacian; monogenic functions may thus also be seen as a generalisation of holomorphic functions in the complex plane.
We apply our results to establishing the existence of solution to a second order nonlinear initial value problem.
We obtain the existence of solution for a third-order functional p-Laplacian boundary value problem at resonance.
Nieto [13] studied the existence of solution for a second-order nonlinear ordinary differential equation with three-point boundary value conditions at resonance.
