Abstract: In this paper, an efficient method to determine a numerical solution of a stochastic nonlinear differential equation (SNDE) is proposed. The method is illustrated by using a stochastic operational matrix based on the triangular functions (TFs). In this proposed method, the SNDE is reduced to a stochastic nonlinear system of equations and unknowns. Then, the error analysis is demonstrated by using some preliminaries. Finally, the method is evaluated with some numerical examples.

• Publication Date: 12-Apr-2015
• DOI: 10.15224/978-1-63248-055-2-08
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Abstract: Single molecule magnets and magnetic properties of advanced low-dimensional materials, especially for spintronic applications. They may be constructed from copper (II) ion and ditopic ligands, such as 2,2’-bipyridine and 4,4’-bipyridine. This paper reports the synthesis and characterization of a single molecule magnet, [Cu2(ɳ2-(OOCR)2(ɳ1-(OOCR)2(2,2'- bpy)2] (Complex 1), and a coordination polymer, [Cu2(ɳ2-(OOCR)2(ɳ1-(OOCR)2(2,2'-bpy)(4,4'- bpy)EtOH] (Complex 2), where R = CH3(CH2)14. These complexes are characterized by elemental analyses, FTIR and UV-vis spectroscopies, magnetic susceptibility, Thermogravimetry and optical polarized microscopy (OPM). Both complexes showed weak ferromagnetic interactions between the square pyramidal Cu(II) centres, and exhibit mesomorphisms.

• Publication Date: 12-Apr-2015
• DOI: 10.15224/978-1-63248-055-2-09
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