‎In this paper‎, ‎we introduce the two-dimensional Legendre wavelets (2D-LWs)‎, ‎and develop them for solving a class of two-dimensional integro-differential equations (2D-IDEs) of fractional order‎. ‎We also investigate convergence of the method‎. ‎Finally‎, ‎we give some illustrative examples to demonstrate the validity and efficiency of the method.

introduction: breast conserving radiotherapy is one of the most common procedures performed in any radiation oncology department. a tangential parallel-opposed pair is usually used for this purpose. this technique is performed using 2d or 3d treatment planning systems. the aim of this study was to compare 2d treatment planning with 3d treatment planning in tangential irradiation in breast conse...

the first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. this method can be applied to non integrable equations as well as to integrable ones. in this paper, the first integral method is used to construct exact solutions of the 2d ginzburg-landau equation.

since hydrocarbon sources have an important role in development of industry and technology, exploration of them has been lionized by human. the seismic reflection method is one of the most applicable investigative methods to identify the hydrocarbon reservoirs, but in some cases this method does not work well because of geology conditions and wave attenuation in depth. thus, some exploration me...

BACKGROUND Visual assessment of left ventricular ejection fraction (LVEF) is often used in clinical routine despite general recommendations to use quantitative biplane Simpsons (BPS) measurements. Even thou quantitative methods are well validated and from many reasons preferable, the feasibility of visual assessment (eyeballing) is superior. There is to date only sparse data comparing visual EF...

in this research, the tacticity and microstructure of polyvinyl chloride (pvc) were studied through back bone methylene and methine carbons and protons splitting by carbon (13c nmr), proton (1h nmr) and two-dimensional (2dnmr) nulear magnetic resonance spectroscopy in deuterated etrahydrofuran.polyvinyl chloride was synthesized by emulsion polymerization of vinyl chloride (vcm) under pressure t...

in this study, the mechanical behavior of vanyar dam was evaluated at the end of construction. a two-dimensional numerical analysis was conducted based on a finite element method on the largest cross-section of the dam. the data recorded by the instruments located in the largest cross-section were compared with the results of the numerical analysis at the place of instruments. the settlement, p...

the produced electric and magnetic fields due to lightning strikes to mountainous ground are determined in this paper. for the sake of simplicity a cone-shaped ground with finite conductivity is assumed to represent a natural nonflat ground. by this assumption, we deal with an axillary symmetrical structure so we use the cylindrical 2d-fdtd to save the simulation memory and time, dramatically. ...