Relationship between the Operators

Relationship between the Operators

E D Ñ d

E E D + 1 (1 - Ñ)^-1 1 + 1/2 d² + dÖ(1+ 1/4d²)

D E -1 D (1 - Ñ)^-1- 1 1/2 d² + dÖ(1+ 1/4d²)

Ñ 1 - E^-1 1 - (1 + D)^-1 Ñ - 1/2 d² + dÖ(1+ 1/4d²)

d E^1/2 - E^-1/2 D(1 + D)^-1/2 Ñ(1 - Ñ)^-1/2 d

m 1/2 (E^1/2 - E^-1/2) (1 + 1/2 D)(1 + D)^1/2 (1 - 1/2 Ñ)(1 - Ñ)^-1/2 Ö(1+ 1/4d²)

Solution of Transcendental Equations | Solution of Linear System of Algebraic Equations | Interpolation & Curve Fitting
Numerical Differentiation & Integration | Numerical Solution of Ordinary Differential Equations
Numerical Solution of Partial Differential Equations