Multiplicative finite difference methods

DOI10.1090/S0033-569X-09-01158-2zbMath1187.65083OpenAlexW2024239255MaRDI QIDQ5306396

Mustafa Riza, Emine Misirli, Ali Ozyapici

Publication date: 9 April 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2009-67-04/S0033-569X-09-01158-2/home.html

zbMATH Keywords

finite difference methodnumerical examplesmultiplicative calculusVolterra calculusmultiplicative differential equationsVolterra differential equationsbigeometric calculus

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (16)

Generalized Runge-Kutta method with respect to the non-Newtonian calculus ⋮ Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method ⋮ Effective numerical methods for non-linear equations ⋮ The Runge–Kutta method in geometric multiplicative calculus ⋮ Numerical methods for the multiplicative partial differential equations ⋮ Bigeometric Cesàro difference sequence spaces and Hermite interpolation ⋮ Hermite-Hadamard type inequalities for multiplicatively harmonic convex functions ⋮ Hermite-Hadamard type inequalities for multiplicatively \(p\)-convex functions ⋮ Multiplicative Adams Bashforth-Moulton methods ⋮ On multiplicative and Volterra minimization methods ⋮ An efficient technique to solve nonlinear equations using multiplicative calculus ⋮ Effective root-finding methods for nonlinear equations based on multiplicative calculi ⋮ The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials ⋮ Finite product representation via multiplicative calculus and its applications to exponential signal processing ⋮ Numerical approximation of multiplicative integral based on exponential interpolation ⋮ ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE

Cites Work

• Unnamed Item
• Multiplicative Runge-Kutta methods
• The concept of physical and fractal dimension. II: The differential calculus in dimensional spaces
• Multiplicative calculus and its applications

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