Helmholtz Differential Equation--Oblate Spheroidal Coordinates
المؤلف:
Moon, P. and Spencer, D. E
المصدر:
Field Theory Handbook, Including Coordinate Systems, Differential Equations, and Their Solutions, 2nd ed.New York: Springer-Verlag
الجزء والصفحة:
...
18-7-2018
3681
Helmholtz Differential Equation--Oblate Spheroidal Coordinates
As shown by Morse and Feshbach (1953) and Arfken (1970), the Helmholtz differential equation is separable in oblate spheroidal coordinates.
REFERENCES:
Arfken, G. "Oblate Spheroidal Coordinates 
." §2.11 in Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, pp. 107-109, 1970.
Byerly, W. E. An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics. New York: Dover, pp. 242 and 245-247, 1959.
Moon, P. and Spencer, D. E. Field Theory Handbook, Including Coordinate Systems, Differential Equations, and Their Solutions, 2nd ed.New York: Springer-Verlag, pp. 33-34, 1988.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 662, 1953.
الاكثر قراءة في المعادلات التفاضلية الجزئية
اخر الاخبار
اخبار العتبة العباسية المقدسة
