Methods Partial Differential Equations 5 (1989), pp. 313- 325.R.E. Mickens, Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis, Numer. Methods Partial Diff. Eq., 5 (1989), 313-325....
After requiring the gen- eral conditions that the spinors obey the Dirac equations, qμ μ = 0, and qλu¯1( p1) λu2( p2) = 0, we can prove that the amplitude depends on only two form factors as M = 2( p1 · ) [CL u¯2( p2)PL u1( p1) + CR u¯2( p2)PR u1(...
Washington, A note on exact finite difference schemes for the differential equations satisfied by the Jacobi cosine and sine functions, J. Diff. Eq. Appl. 19 (2013), pp. 1042- 1047.R. E. Mickens and T. M. Washington, "A note on exact finite difference schemes for the differential ...
8. A comparative study of concentration, velocity, and heat equations for regular and fractional models is conducted by the dint of Fig. 9. Figure 9a,b describe that thermal and concentration solutions derived using the fractional approach have minimum outputs than those established employing the ...
Eq. (3.5) can be written as a system of equations of the following form (3.9)[Math Processing Error](3.10)[Math Processing Error] Let [Math Processing Error] be the solution of [Math Processing Error]Using the bivariate general Itô formula for [Math Processing Error], we obtain [Math ...
std.assert-ok! (coq.typecheck LpeProofs' _) "Ill-typed equations", std.time (19 changes: 14 additions & 5 deletions 19 theories/ring.v Original file line numberDiff line numberDiff line change @@ -416,9 +416,12 @@ Lemma ring_correct (R : comRingType) (n : nat) (l : seq R...
Exact difference schemes for hyperbolic equations347The exact solution of this equation is given by the formula [10]u(0,t) =μ1(t),(2.16)whereμ1(t) =u0(0)e−aσ1t+t∫0exp(−t∫saσ1dτ)( ̄u0(as) +u′0(as)+a ̄μ1(s) +1a(s∫0−a(η−s)∫0f(ζ,η)dζ...
EXACT SOLITARY WAVE SOLUTIONS TO A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS USING DIRECT ALGEBR
Methods Partial Diff. Eq . 5, 313–325 (1989).R. E. Mickens, "Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: implications for numerical analysis," Journal of Difference Equations and Appli- cations, vol. 9, no. 11, pp. 995-1006, 2003....
Methods Partial Diff. Eq., 5 (1989), 313-325.R. E. Mickens, "Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis," Numeri- cal Methods for Partial Differential Equations 5 (1989), 313-325....