Application of binomial coefficients in representing central difference solution to a class of PDE arising in chemistry

DOI10.1007/S10910-005-9011-7zbMath1100.92077OpenAlexW2047087181MaRDI QIDQ2503723

Teik-Cheng Lim

Publication date: 22 September 2006

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51220

zbMATH Keywords

finite differencebinomial coefficientPascal's trianglepartial differential

Mathematics Subject Classification ID

Chemistry (92E99) Binomial coefficients; factorials; (q)-identities (11B65) Finite difference methods for boundary value problems involving PDEs (65N06) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Cites Work

• Unnamed Item
• Pascal's triangle, non-adjacent numbers, and \(D\)-dimensional atomic orbitals
• A Novel algorithm for the numerical integration of systems of ordinary differential equations arising in chemical problems
• Solving the problem of photochemical kinetics in a medium with low reagent mobilities
• An eigenfunction expansion for the Schrödinger equation with arbitrary non-central potentials
• Schrödinger equation solutions for the central field power potential energy. I: \(V(r) = V_{0}(r/a_{0})^{2{\nu}-2}\), \({\nu}{\geqslant}1\)
• Schrödinger equation solutions for the central field power potential energy. II: \(V(r)=-V_{0}(r/a_{0}^{2{\nu}-2})\), \(0 {\leqslant}{\nu}{\leqslant} 1\), the bound states
• Modelling of amperometric biosensors with rough surface of the enzyme membrane
• New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation
• Modelling dynamics of amperometric biosensors in batch and flow injection analysis
• The effect of diffusion limitations on the response of amperometric biosensors with substrate cyclic conversion
• A note on the initial condition of the differential equation which defines proper quantum topological subspaces
• On finite difference methods for the solution of the Schrödinger equation

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