Sinc Convolution–BIE Methods for PDE & IE
DOI link for Sinc Convolution–BIE Methods for PDE & IE
Sinc Convolution–BIE Methods for PDE & IE book
This chapter contains both known and new results for obtaining solution of partial diﬀerential equations (PDE) via combination of boundary integral equation (BIE) and Sinc methods. The results derived here are theoretical. Explicit programs illustrating solutions of PDE using the results of this chapter are presented in Chapter 4. Features of this chapter with reference to solving elliptic, parabolic, and hyperbolic PDE are:
• Using one dimensional Sinc methods of Chapter 1 for solving linear PDE;
• Elimination the use of large matrices required by other methods for solving linear PDE;
• Achieving “separation of variables” in solving elliptic, parabolic and hyperbolic PDE, even over curvilinear regions.