Generalized Trapezoidal Formulas For The Symmetric Heat Equation In Polar Coordinates II. The Case Of Point Sources

References

• Carslaw , H. S. and Jaeger , J. C. 1959 . Conduction of Heat in Solids , 2nd edn , London : Oxford Univ. Press .
   Google Scholar
• Chawla , M. M. , Al-Zanaidi , M. A. and Evans , D. J. 1996 . A class of generalized trapezoidal formulas for the numerical integration y' =f(x,y} . Intern. J. Computer Math. , 62 : 131 – 142 .
   Web of Science ®Google Scholar
• Chawla , M. M. , Al-Zanaidi , M. A. and Evans , D. J. 1999 . Generalized trapezoidal formulas for parabolic equations . Intern. J. Computer Math. , 70 : 429 – 443 .
   Web of Science ®Google Scholar
• Chawla , M. M. , Al-Zanaidi , M. A. and Evans , D. J. 2002 . Generalized trapezoidal formulas for the symmetric heat equation in polar coordinates . Intern. J. Computer Math. , 79 : 729 – 745 .
   Web of Science ®Google Scholar
• Chawla , M. M. , Al-Zanaidi , M. A. and Al-Sahhar , M. S. 1995 . A class of stabilized extended one-step methods for the numerical solution of ODEs . Computers Math. Applic. , 29 : 79 – 84 .
   Web of Science ®Google Scholar
• Chawla , M. M , McKee , S. and Shaw , G. 1986 . Order h2 method for a singular two-point boundary value problem . BIT , 26 : 318 – 326 .
   Web of Science ®Google Scholar
• Chawla , M. M. and Shivakumar , P. N. 1987 . On the existence of solutions of a class of singular nonlinear twopoint boundary value problems . J. Comput Appl. Math. , 19 : 379 – 388 .
   Web of Science ®Google Scholar
• Mitchell , A. R. and Griffiths , D. F. 1980 . The Finite Difference Method in Partial Differential Equations , New York : John Wiley & Sons .
   Google Scholar
• Mortem , K. W. and Mayers , D. F. 1994 . Numerical Solution of Partial Differential Equations , Cambridge : Cambridge Univ. Press .
   Google Scholar
• Thomas , J. W. 1995 . Numerical Partial Differential Equations: Finite Difference Methods , New York : Springer-Verlag .
   Google Scholar