Wono Setya Budhi
Department of Mathematics, Faculty of Mathematics and Science, Institut Teknologi Bandung

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A Note on Singularly Perturbed System Hengki Tasman; Theo Tuwankotta; Wono Setya Budhi
Jurnal Matematika & Sains Vol 7, No 1 (2002)
Publisher : Institut Teknologi Bandung

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Abstract

In this paper the solution of a singularly perturbed nonlinear ordinary differential equation which is obtained by using the asymptotic expansion method and a numerical method is analyzed in various values of the parameter of the equation. The numerical method which we use is Runge-Kutta-Feldbergh method of order 45, combined with the shooting method. Both solutions are verified using the first integral of the equation.
Regularitas Operator Potensial Layer Tunggal Wono Setya Budhi
Jurnal Matematika & Sains Vol 2, No 1 (1997)
Publisher : Institut Teknologi Bandung

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Abstract

We prove the regularity of the operator Ω∈−=∫Ωxdsxxu)()(||ln21)(ξξφξπ∂ using similar technique for proving Cauchy integral operator. If φ are continue on ∂Ω, we prove that u is uniformly Holder continue in Ω with Holder exponent α for every α ∈ (0,1). However, from the proof, if uL then u is in the same space as before.
On the Behavior of the Solution of the Wave Equation Hendra Gunawan; Wono Setya Budhi
Jurnal Matematika & Sains Vol 9, No 2 (2004)
Publisher : Institut Teknologi Bandung

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Abstract

We shall here study some properties of the Laplace operator through its imaginary powers, and apply the results to understand the behavior of the solution of the wave equation.