In this paper, new approach based on coupled Laplace transformation with decomposition method is proposed to solve type of partial differential equation. Then it’s used to find the accurate solution for heat equation with initial conditions. Four examples introduced to illustrate the accuracy, efficiency of suggested method. The practical results show the importance of suggested method for solve differential equations with high accuracy and easy implemented.
This paper is used for solving component Volterra nonlinear systems by means of the combined Sumudu transform with Adomian decomposition process. We equate the numerical results with the exact solutions to demonstrate the high accuracy of the solution results. The results show that the approach is very straightforward and effective.
In this paper, the linear system of Fredholm integral equations is solving using Open Newton-Cotes formula, which we use five different types of Open Newton-Cotes formula to solve this system. Compare the results of suggested method with the results of another method (closed Newton-Cotes formula) Finally, at the end of each method, algorithms and programs developed and written in MATLAB (version 7.0) and we give some numerical examples, illustrate suggested method
Different concentrations prepared 2,4,8,16,32 ppt from flow water to Shatt-Alarab
by adding Chlorella vulgares and Navicual busiedtii as alone for each
concentration. The results showed that the concentrations of salinity reduced to 0,
1.78, 9.45, 15 ppt after 10 days, with removed percentage 100, 100, 77.75, 40.93,
37.12 % respectively for Chlorella vulgares the cell numbers of Chlorella vulgares
reached to 58.123, 60.123, 69.712, 37.234, 30.546 ×104/ml comparing with the
control 55.652 ×104/ml while the absorbability of salinity reached to 0.378, 0.391,
0.489, 0.231, and 0.192 nm comparing with 0.342 as control. The external cell wall
of Chlorella vulgares was swelling at 32 ppt. the removal percentage of sali
In this paper, we prove some coincidence and common fixed point theorems for a pair of discontinuous weakly compatible self mappings satisfying generalized contractive condition in the setting of Cone-b- metric space under assumption that the Cone which is used is nonnormal. Our results are generalizations of some recent results.
The Order Sphaerocarpales of the bottle liverwort consists of five genera, among which Sphaerocarpos in turn consists of 8-9 species. The genus is nearly worldwide distributed, but disjunct, sporadic, and localized throughout the range in North America, South America, Europe, Africa, and Australia. According to the published checklist, only two species of Sphaerocarpos were recorded in the middle east countries. These are S. texanus and S. michelii, both were found in Turkey, while only the latter was found in Iraq. By the current study, an additional species, S. donnellii, will be added to the byroflora of the Middle East (south west Asia) region. A specimen of this s
... Show MoreIn current study, the dye from flowers petals of Strelitzia reginae used for the first time to prepare natural photosensitizer for DSSC fabrication. Among five different solvents used to extract the natural dye from S. reginae flowers, the ethanol extract of anthocyanin dye revealed higher absorption spectrum of 0.757a.u. at wavelength of 454nm. A major effect of temperature was studied to increase the extraction yield. The results show that the optimal temperature was 70 °C and there was a sharp decrease of dye concentration from 0.827 at temperature of 70 °C to 0.521 at temperature of 90°C. The extract solution of flowers of S. reginae showed higher co
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