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Cited by 6 publications
(3 citation statements)
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“…In recent years, B-splines collocation method has been studied extensively for the solution of various problems involving differential equations. For exemple; used for the resolution of the hyperbolic telegraph equation [28], diffusion problems [4], convection-diffusion equations [29], nonlinear parabolic partial differential equations [30], Burgers equation [36], time fractional gas dynamics equation [14], generalized BlackScholes equation governing option pricing [31] and class of partial integrodifferential equation [17].…”
Section: Collocation Methodmentioning
confidence: 99%
“…In recent years, B-splines collocation method has been studied extensively for the solution of various problems involving differential equations. For exemple; used for the resolution of the hyperbolic telegraph equation [28], diffusion problems [4], convection-diffusion equations [29], nonlinear parabolic partial differential equations [30], Burgers equation [36], time fractional gas dynamics equation [14], generalized BlackScholes equation governing option pricing [31] and class of partial integrodifferential equation [17].…”
Section: Collocation Methodmentioning
confidence: 99%
“…Mathematicians chose the term spline to refer to the piecewise polynomial functions used to create smooth curves. This method of constructing curves is used in data interpolation [12,20], in computer design software to create smooth surfaces [13,18], and partial differential equations to find numerical solutions [9,14].…”
Section: Introductionmentioning
confidence: 99%
“…A great deal of effort has been applied to compute efficiently the solution of transient partial differential equations (1) and (2) analytically [1][2][3][4][5][6][7] and numerical algorithms such as Hermite radial basis function interpolation numerical scheme [8], two-stage Lie-group shooting method [9], finite difference method [10][11][12], spectral collocation method [13], Sinc differential quadrature method [14], orthogonal collocation method [10,[15][16][17], fitted mesh collocation method [18], a novel numerical scheme [19], Galerkin/Petrov Galerkin method [20][21][22], orthogonal collocation on finite elements [23][24][25], factorized diagonal Padé approximation [26], spline collocation methods [27,28], variational iteration method (VIM) [29,30], homotopy analysis method [31,32], homotopy perturbation method (HPM) [33][34][35], and energy balance method [36].…”
Section: Introductionmentioning
confidence: 99%