Singular boundary method: A review and computer implementation aspects
This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …
engineering applications. The basic concepts of the singular boundary method are first …
Localized collocation schemes and their applications
This paper presents a summary of various localized collocation schemes and their
engineering applications. The basic concepts of localized collocation methods (LCMs) are …
engineering applications. The basic concepts of localized collocation methods (LCMs) are …
[كتاب][B] Numerical methods for Laplace transform inversion
AM Cohen - 2007 - books.google.com
Operational methods have been used for over a century to solve problems such as ordinary
and partial differential equations. When solving such problems, in many cases it is fairly …
and partial differential equations. When solving such problems, in many cases it is fairly …
Matrix approach to discrete fractional calculus II: partial fractional differential equations
A new method that enables easy and convenient discretization of partial differential
equations with derivatives of arbitrary real order (so-called fractional derivatives) and delays …
equations with derivatives of arbitrary real order (so-called fractional derivatives) and delays …
Boundary particle method for Laplace transformed time fractional diffusion equations
This paper develops a novel boundary meshless approach, Laplace transformed boundary
particle method (LTBPM), for numerical modeling of time fractional diffusion equations. It …
particle method (LTBPM), for numerical modeling of time fractional diffusion equations. It …
[HTML][HTML] The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
We analyze a nonlocal diffusion operator having as special cases the fractional Laplacian
and fractional differential operators that arise in several applications. In our analysis, a …
and fractional differential operators that arise in several applications. In our analysis, a …
Numerical inverse Laplace transformation using concentrated matrix exponential distributions
This paper investigates the performance of the numerical inverse Laplace transformation
(ILT) method based on concentrated matrix exponential (CME) distributions, referred to as …
(ILT) method based on concentrated matrix exponential (CME) distributions, referred to as …
A gamma process based model for systems subject to multiple dependent competing failure processes under Markovian environments
The performance rules of many products that suffer from both natural degradation and
random shocks may have discrepancies in different environments during their service life …
random shocks may have discrepancies in different environments during their service life …
A boundary collocation method for anomalous heat conduction analysis in functionally graded materials
This paper applies a semi-analytical boundary collocation method, the singular boundary
method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace …
method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace …
Generalized fractional diffusion equations for accelerating subdiffusion and truncated Lévy flights
Fractional diffusion equations are widely used to describe anomalous diffusion processes
where the characteristic displacement scales as a power of time. For processes lacking such …
where the characteristic displacement scales as a power of time. For processes lacking such …