Numerical solutions of the first boundary-value problem for the telegraph equation on open contours
Approximate Methods in Solution of Applied Problems
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Abstract
The first plane initial—boundary-value problem for the telegraph equation is reduced by a Chebyshev—Laguerre temporal integral transform to a sequence of stationary boundary-value problems for elliptic equations. Their solutions are sought in integral form. This leads to a recursive sequence of integral equations of the first kind that are solved by the collocation method with isolation of singularities. The sought function is determined by the inverse transform.
Keywords
Integral Equation Elliptic Equation Integral Form Collocation Method Telegraph Equation
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© Plenum Publishing Corporation 1994