Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2000
... Permissions & Reprints. Surface modification of alumina by metal doping. AK K... more ... Permissions & Reprints. Surface modification of alumina by metal doping. AK Khattak Corresponding Author Contact Information , a , M. Afzal b , M. Saleem b , G. Yasmeen b and R. Ahmad c. a Department of Chemistry, Gomal University, Dera Ismail Khan, Pakistan. ...
2013 IEEE 16th International Conference on Computational Science and Engineering, 2013
ABSTRACT Autonomous and Distributed repositories containing digital documents are maintained and ... more ABSTRACT Autonomous and Distributed repositories containing digital documents are maintained and managed independently in accordance to organization's business needs. Documents containing same information in different repositories maybe represented differently, making it hard to retrieve desired information. The information explosion necessitates efficient techniques to unearth the lump of information from hay stack of online digital documents with same and heterogeneous structures. Keyword based information retrieval techniques help in improving the recall of user query result, but has a low precision. To improve precision, we adopt semantic information retrieval technique from digital documents using ontology and maintain dynamic and evolving domain ontology to accommodate the retrieved information. We followed searching technique using thematic similarity approach to enhance the precision of search results. We propose a comprehensive architecture for semantic based information retrieval and search. Plain text is read semantically and the extracted metadata is stored for later use to answer user queries. Triple-centric technique is used for maintaining source metadata (in case of system crash) and probing user queries for capturing the context of the keywords. Semantic based information retrieval and annotation technique precision and recall results are very promising. Semantic search using thematic similarity approach proves to have better precision and recall than previous keyword based searching techniques.
In this work, we present a comparative study of meshless method, modified Bernstein polynomials (... more In this work, we present a comparative study of meshless method, modified Bernstein polynomials (BP) and B-Spline finite element method (BS-FEM) for the numerical solution of two different models of Korteweg–de Vries (KdV) equation. The multiquadric (MQ) and Gaussian (GA) Radial basis functions (RBFs) are used due to exponential convergence rate. Excellent agreement is found between exact and RBFs solutions and same accuracy is obtained as Bernstein polynomials and B-Spline finite element method.
This paper formulates a meshfree radial basis functions (RBFs) collocation (Kansa) method for the... more This paper formulates a meshfree radial basis functions (RBFs) collocation (Kansa) method for the numerical solution of the Korteweg-de Vries (KdV) equation. The accuracy of the method is assessed in terms of the errors in L∞, L2 and root mean square (RMS), number of nodes in the domain of influence, parameter-dependent RBFs time and spatial steps length. This approach has an edge over the traditional methods such as finite-difference and finite-element methods because it does not require a mesh to discretize the problem domain, and a set of scattered nodes in the domain of influence provided by initial data is required for the realization of the method. Numerical experiments demonstrate the accuracy and robustness of the method when applied to complicated nonlinear partial differential equations. In this work, three test problems are studied.
Corrigendum to ''Application of meshfree collocation method to a class of nonlinear partial diffe... more Corrigendum to ''Application of meshfree collocation method to a class of nonlinear partial differential equations' ' [Eng. Anal. Boundary Elem. 33(5)
In this work, an algorithm for the numerical solution of the generalized HirotaSatsuma equations... more In this work, an algorithm for the numerical solution of the generalized HirotaSatsuma equations and JaulentMiodek equations based on meshless radial basis functions (RBFs) method using collocation points, called Kansa's method, is presented. Four model ...
Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2000
... Permissions & Reprints. Surface modification of alumina by metal doping. AK K... more ... Permissions & Reprints. Surface modification of alumina by metal doping. AK Khattak Corresponding Author Contact Information , a , M. Afzal b , M. Saleem b , G. Yasmeen b and R. Ahmad c. a Department of Chemistry, Gomal University, Dera Ismail Khan, Pakistan. ...
2013 IEEE 16th International Conference on Computational Science and Engineering, 2013
ABSTRACT Autonomous and Distributed repositories containing digital documents are maintained and ... more ABSTRACT Autonomous and Distributed repositories containing digital documents are maintained and managed independently in accordance to organization's business needs. Documents containing same information in different repositories maybe represented differently, making it hard to retrieve desired information. The information explosion necessitates efficient techniques to unearth the lump of information from hay stack of online digital documents with same and heterogeneous structures. Keyword based information retrieval techniques help in improving the recall of user query result, but has a low precision. To improve precision, we adopt semantic information retrieval technique from digital documents using ontology and maintain dynamic and evolving domain ontology to accommodate the retrieved information. We followed searching technique using thematic similarity approach to enhance the precision of search results. We propose a comprehensive architecture for semantic based information retrieval and search. Plain text is read semantically and the extracted metadata is stored for later use to answer user queries. Triple-centric technique is used for maintaining source metadata (in case of system crash) and probing user queries for capturing the context of the keywords. Semantic based information retrieval and annotation technique precision and recall results are very promising. Semantic search using thematic similarity approach proves to have better precision and recall than previous keyword based searching techniques.
In this work, we present a comparative study of meshless method, modified Bernstein polynomials (... more In this work, we present a comparative study of meshless method, modified Bernstein polynomials (BP) and B-Spline finite element method (BS-FEM) for the numerical solution of two different models of Korteweg–de Vries (KdV) equation. The multiquadric (MQ) and Gaussian (GA) Radial basis functions (RBFs) are used due to exponential convergence rate. Excellent agreement is found between exact and RBFs solutions and same accuracy is obtained as Bernstein polynomials and B-Spline finite element method.
This paper formulates a meshfree radial basis functions (RBFs) collocation (Kansa) method for the... more This paper formulates a meshfree radial basis functions (RBFs) collocation (Kansa) method for the numerical solution of the Korteweg-de Vries (KdV) equation. The accuracy of the method is assessed in terms of the errors in L∞, L2 and root mean square (RMS), number of nodes in the domain of influence, parameter-dependent RBFs time and spatial steps length. This approach has an edge over the traditional methods such as finite-difference and finite-element methods because it does not require a mesh to discretize the problem domain, and a set of scattered nodes in the domain of influence provided by initial data is required for the realization of the method. Numerical experiments demonstrate the accuracy and robustness of the method when applied to complicated nonlinear partial differential equations. In this work, three test problems are studied.
Corrigendum to ''Application of meshfree collocation method to a class of nonlinear partial diffe... more Corrigendum to ''Application of meshfree collocation method to a class of nonlinear partial differential equations' ' [Eng. Anal. Boundary Elem. 33(5)
In this work, an algorithm for the numerical solution of the generalized HirotaSatsuma equations... more In this work, an algorithm for the numerical solution of the generalized HirotaSatsuma equations and JaulentMiodek equations based on meshless radial basis functions (RBFs) method using collocation points, called Kansa's method, is presented. Four model ...
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