Author(s)

Fahhad Alharbi

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A non-orthogonal predefined exponential basis set is used to handle half-bounded domains in multi domain spectral method (MDSM). This approach works extremely well for real-valued semi-infinite differential problems. It spans simultaneously wide range of exponential decay rates with multi scaling and does not suffer from zero crossing. These two conditions are necessary for many physical problems. For comparison, the method is used to solve different problems and compared with analytical and published results. The comparison exhibits the strengths and accuracy of the presented basis set.

Multi-Domain Spectral Method, Meshfree Numerical Method, Non-Orthogonal Predefined, Exponential Basis Set, Half-Bounded Domain, Exponential Decay, Quantum Wells, Optical Waveguide

F. Alharbi, "Predefined Exponential Basis Set for Half-Bounded Multi Domain Spectral Method," Applied Mathematics, Vol. 1 No. 3, 2010, pp. 146-152. doi: 10.4236/am.2010.13019.