Anomalous sub-diffusion equations by the meshless collocation method
Recently, many new applications in engineering and science are governed by a series of fractional ordinary differential equation or fractional partial differential equations (FPDEs), in which the differential order is with a fractional order.
庄平辉 +4 more
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On the Mathematical Modeling of Slender Biomedical Continuum Robots. [PDF]
Gilbert HB.
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The Schwarz Alternating Sinc Domain Decomposition Method
The overlapping sinc--collocation domain decomposition method combined with the Schwarz alternating technique is developed for two-point boundary-value problems for second-order ordinary differential equations with singularities.
Nancy J. Lybeck +2 more
core
Convergence of the Sinc Overlapping Domain Decomposition Method
The sinc-collocation overlapping method is developed for two-point boundary-value problems for second-order ordinary differential equations. The discrete system is formulated and the bordering algorithm used for the solution of this system is described ...
Nancy J. Lybeck +2 more
core
Convergence of a collocation scheme for a retarded potential integral equation
Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core
A new hybrid block collocation method for solving elliptic PDEs. [PDF]
Rufai MA +3 more
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Efficient numerical analysis of nonlinear liquid dispersion pattern drops using Taylor wavelet collocation. [PDF]
El-Hady MA, El-Gamel M, Kashwaa Y.
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Extended cubic B-spline method for solving a linear system of second-order boundary value problems. [PDF]
Heilat AS, Hamid NN, Ismail AI.
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Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]
Aghazadeh A, Lakestani M.
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Residual power series scheme treatments for fractional Klein-Gordon problem arising in soliton theory. [PDF]
Rida SZ +4 more
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