Entire Solutions of One Linear Implicit Differential-Difference Equation in Banach SpacesEXISTENCE theoremsLINEAR systemsDIFFERENTIAL equationsDIFFERENCE equationsBANACH spacesWe establish the existence and uniqueness conditions for the solution for the initial problemdoi:10.1007/s11253-018-1563-3S. L. HefterO. L. Piven'SpringerUkrainian Mathematical ...
Based on the guessed 胃NW and 胃SE values (solutions at the northwest and the southeast corners of a computational cell), the nine-diagonal coefficient matrix is factored in terms of a lower and an upper triangular matrix with only seven nonzero diagonals. The solution procedure then is ...
[t,y] = ode15i(odefun,tspan,y0,yp0), where tspan = [t0 tf], integrates the system of differential equations f(t,y,y′)=0 from t0 to tf with initial conditions y0 and yp0. Each row in the solution array y corresponds to a value returned in column vector t. example [t,y] ...
stochastic partial differential equationIn this paper we investigate the numerical solution of stochastic partial differential equations (SPDEs) for a wider class of stochastic equations. We focus on non-diagonal colored noise instead of the usual space-time white noise. By applying a spectral ...
A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrdinger equationPhase fittingSchrödinger equationPhase-lagOrdinary differential equationsSingularly P-stableSymmetric multistep methodsIn this paper, we present a new implicit six-step singularly P-stable ...
Row vector of the steps chosen by the solver. sol.y Solutions. Each columnsol.y(:,i)contains the solution at timesol.x(i). sol.solver Solver name. Additionally, if you specify theEventsoption ofodesetand events are detected, thensolalso includes these fields: ...
Two implicit methods have been suggested in the paper presented to get the solution of Fisher equation. This methods are based on a semi implicit finite difference scheme. First scheme is modified CN method and second one is modified Keller Box and both the designed schemes having accuracy of ...
In this paper, the numerical approach for implicit adsorption isotherms presented in Fechtner and Kienle (2017) was successfully extended to applications with variable solution normality and variable feed conditions. Again, the system of partial differential and algebraic implicit equations is reformulated...
Row vector of the steps chosen by the solver. sol.y Solutions. Each columnsol.y(:,i)contains the solution at timesol.x(i). sol.solver Solver name. Additionally, if you specify theEventsoption ofodesetand events are detected, thensolalso includes these fields: ...
Consider an ordinary differential equation \frac{d\theta}{dt} = f(\theta). Let \theta(t) be the solution of this ODE with initial \theta_0 , i.e., \theta(0)=\theta_0 . By Explicit Euler method, we have \theta_{n+1} = \theta_n + hf(\theta_n) ...