APPROXIMATING THE SOLUTIONS OF HIGHER ORDER LINEAR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS USING RADIAL BASIS FUNCTION METHOD OF LINES (RBF-MOLS)

International Journal of Engineering Applied Sciences and Technology ◽

10.33564/ijeast.2020.v05i01.008 ◽

2020 ◽

Vol 5 (1) ◽

pp. 52-60

Author(s):

Tersoo Luga

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Linear Time ◽

Method Of Lines ◽

Higher Order ◽

Time Dependent ◽

Radial Basis Function Method

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A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2004.01.004 ◽

2004 ◽

Vol 28 (10) ◽

pp. 1191-1206 ◽

Author(s):

E.J. Kansa ◽

H. Power ◽

G.E. Fasshauer ◽

L. Ling

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Time Dependent ◽

Partial Differential ◽

Radial Basis ◽

Radial Basis Function Method

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Optimization, conditioning and accuracy of radial basis function method for partial differential equations with nonlocal boundary conditions—A case of two-dimensional Poisson equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.01.009 ◽

2013 ◽

Vol 37 (4) ◽

pp. 788-804 ◽

Author(s):

Svaju⌢nas Sajavičius

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Two Dimensional ◽

Radial Basis Function Method

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A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains

Journal of Scientific Computing ◽

10.1007/s10915-015-0013-8 ◽

2015 ◽

Vol 66 (1) ◽

pp. 67-90 ◽

Author(s):

Yanlai Chen ◽

Sigal Gottlieb ◽

Alfa Heryudono ◽

Akil Narayan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Irregular Domains ◽

Partial Differential ◽

Radial Basis ◽

Radial Basis Function Method

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A symmetric integrated radial basis function method for solving differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22240 ◽

2018 ◽

Vol 34 (3) ◽

pp. 959-981 ◽

Author(s):

Nam Mai-Duy ◽

Deepak Dalal ◽

Thi Thuy Van Le ◽

Duc Ngo-Cong ◽

Thanh Tran-Cong

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Radial Basis ◽

Radial Basis Function Method

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Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method

Composites Part B Engineering ◽

10.1016/s1359-8368(03)00083-0 ◽

2003 ◽

Vol 34 (7) ◽

pp. 627-636 ◽

Author(s):

A.J.M. Ferreira ◽

C.M.C. Roque ◽

P.A.L.S. Martins

Keyword(s):

Radial Basis Function ◽

Shear Deformation ◽

Basis Function ◽

Deformation Theory ◽

Function Method ◽

Shear Deformation Theory ◽

Composite Plates ◽

Higher Order ◽

Finite Point ◽

Radial Basis Function Method

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Radial basis function method applied to doubly-curved laminated composite shells and panels with a General Higher-order Equivalent Single Layer formulation

Composites Part B Engineering ◽

10.1016/j.compositesb.2013.07.026 ◽

2013 ◽

Vol 55 ◽

pp. 642-659 ◽

Author(s):

Francesco Tornabene ◽

Nicholas Fantuzzi ◽

Erasmo Viola ◽

A.J.M. Ferreira

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Single Layer ◽

Laminated Composite ◽

Higher Order ◽

Composite Shells ◽

Doubly Curved ◽

Laminated Composite Shells ◽

Radial Basis Function Method

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Adaptive radial basis function methods for time dependent partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.07.004 ◽

2005 ◽

Vol 54 (1) ◽

pp. 79-94 ◽

Author(s):

Scott A. Sarra

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Time Dependent ◽

Partial Differential ◽

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ANALYSIS OF A SHORT BANANA FIBER-REINFORCED HDPE/POLY (∈-CAPROLACTONE) SKEW COMPOSITE PLATE USING THE MULTIQUADRIC RADIAL BASIS FUNCTION METHOD

Composites Mechanics Computations Applications An International Journal ◽

10.1615/compmechcomputapplintj.v2.i3.30 ◽

2011 ◽

Vol 2 (3) ◽

pp. 195-221

Author(s):

Raghvendra Misra ◽

P. C. Mishra ◽

Sandeep Kumar

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Composite Plate ◽

Function Method ◽

Fiber Reinforced ◽

Banana Fiber ◽

Radial Basis ◽

Poly Caprolactone ◽

Radial Basis Function Method

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A Three-Level Radial Basis Function Method for Expensive Optimization

IEEE Transactions on Cybernetics ◽

10.1109/tcyb.2021.3061420 ◽

2021 ◽

pp. 1-12

Author(s):

Genghui Li ◽

Qingfu Zhang ◽

Qiuzhen Lin ◽

Weifeng Gao

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Radial Basis ◽

Expensive Optimization ◽

Radial Basis Function Method

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A Local Radial Basis Function Method for the Laplace–Beltrami Operator

Journal of Scientific Computing ◽

10.1007/s10915-020-01399-3 ◽

2021 ◽

Vol 86 (3) ◽

Author(s):

Diego Álvarez ◽

Pedro González-Rodríguez ◽

Manuel Kindelan

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Beltrami Operator ◽

Radial Basis ◽

Radial Basis Function Method

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