This paper considers approximate solution of the hyperbolic one-dimensional wave equation with nonlocal mixed boundary conditions by improved methods based on the assumption that the solution is a double power series based on orthogonal polynomials, such as Bernstein, Legendre, and Chebyshev. The solution is ultimately compared with the original method that is based on standard polynomials by calculating the absolute error to verify the validity and accuracy of the performance.

The mixed ligand complexes of Mn(II), Co(II), Ni(II), Cu(II), Zn(II), Cd(II) and Hg(II) with alanine and 8-hydroxyqinoline (Oxine) were synthesized and characterized by FT-IR ,spectra electronic, flam-AAS] along with conductivity measurements , solubility , melting point, magnetic susceptipibility.The synthesized complexes were tested in vitro for antimicrobial activity. The results obtained indicated that some of these complexes are more active than with others.

New biscarboxylato zwitterionic ligands, namely bis(N-carboxylatoethyl)-4,4 -dipyridinum) L1 and bis(Ncarboxylatopropyl)-)-4,4 -dipyridinum) L2, were synthesized from the reaction of 4,4 -dipyridine with 3-bromopropanoic acid and 4-bromobutanoic acid, respectively. The reaction of these ligands and the azido coligand with some metal ions resulted in the formation of polymeric complexes of general formulae [Cr2(Ln)(N3)4]Cl2·H2O and [M2(Ln)(N3)4] xH2O, where (M = Mn(II), Fe(II), Co(II), Ni(II), Cu(II), Zn(II) and Cd(II); n = 1, 2; x = 1, 1, 1, 1, 0, 1, and 1, respectively.) The oxygens of the carboxylato group are coordinated to the metal ion in a bidentate fashion. The mode of bonding and overall geometry of the complexes were determin

Salicylaldehyde was react with 4-amino-2,3-dimethyl-1-phenyl-3-pyrazoline-5-on to produce the Schiff base ligand 2,3-dimethyl-1-phenyl-4-salicylidene-3-pyrazoline-5-on (L). The prepared ligand was identified by Microelemental Analysis, and FT.IR, UV-Vis spectroscopic techniques. A new complexes of Fe(III),Co(II),Ni(II),Cu(II),Ce(III) and Pb(II) with mixed ligands of dithizone (DTZ) and Schiff base were prepared in aqueous ethanol with a 2:2:1 M:L:DTZ. The prepared complexes were characterized using flame atomic absorption, (C.H.N) Analysis, FT.IR and UV-Vis spectroscopic methods as well as magnetic susceptibility and conductivity measurements. In addition biological activity of the ligands and complexes against two selected type of bacteria

A Schiff base ligand (L) was used as primary ligand and potassium anthranilate (Anth) was used as the secondary ligand in the molar ratio M: L:2Anth to synthesize a new platinum(IV) mixed-ligand complex [Pt(L)(Anth)₂]Cl₂. The Schiff base ligand was synthesized by the condensation of 4-Aminoantipyrine with 4-Hydroxybenzaldehyde and was verified as a bidentate ligand. The UV-visible, FT-IR, 1 H NMR, 13 C NMR, CHN elemental analysis, molar conductance, chloride ion determination and melting point measurements were used to characterize the ligand and the complex. The results of the molar conductance showed that the electrolytic behavior was 1:2, where the two chloride ions were present outside the coordination sphere, while the spectroscopi

Mixed pain, defined by the concurrent involvement of nociceptive, neuropathic, and sometimes nociplastic mechanisms, poses a significant diagnostic and therapeutic challenge within modern pain medicine. This complex pain phenotype is increasingly recognized as a prevalent and burdensome clinical entity, yet it remains substantially underdiagnosed and sub-optimally managed across diverse healthcare settings. Epidemiological data indicate that mixed pain affects a substantial proportion of patients with chronic pain syndromes and is consistently associated with more severe symptomatology, prolonged pain duration, functional impairment, diminished quality of life, and escalated healthcare resource utilization compared to pain of a sing