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B-Spline Collocation Methods For Coupled Nonlinear Schrödinger Equation

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dc.contributor.authorSaiful Anuar, Hanis Safirah Binti
dc.date.accessioned2023-10-24T03:53:24Z
dc.date.available2023-10-24T03:53:24Z
dc.date.issued2021-01
dc.description.abstractIn this study, the Coupled Nonlinear Schrödinger Equation (CNLSE) which models the propagation of light waves in optical fiber is solved using numerical methods namely Finite Difference Method (FDM) and B-Spline collocation methods. The equation was discretized in space and time. We propose the discretization of the nonlinear terms in the CNLSE following the Taylor approach and a newly developed approach called Besse. The theta-weighted method is used to generalize the scheme whereby the Crank-Nicolson scheme (i.e θ = 0.5) is chosen. The time derivatives are discretized by forward difference approximation. For each approach, the space dimension is then discretized by five different collocation methods independently. The first method for Taylor approach is based on FDM whereby the space derivatives are replaced by central difference approximation.
dc.identifier.urihttps://erepo.usm.my/handle/123456789/17720
dc.subjectHanis Safirah Binti B-Spline Collocation Methods
dc.subjectCoupled Nonlinear Schrödinger Equation
dc.titleB-Spline Collocation Methods For Coupled Nonlinear Schrödinger Equation
dc.typeResource Types::text::thesis::doctoral thesis
dspace.entity.typePublication
oairecerif.author.affiliationUniversiti Sains Malaysia
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Pusat Pengajian Sains Matematik - Tesis