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is there some algorithm for save a finest route gps android

When we save coordinates gps in android , We know the gps is not precise
for example , Here the blue point is the real coordinates, the red points is the gps gets in several attempts
this is (not a real ) route, after we drawn the lines if you have (driven/walking/moved)
this is (other fake ) route which is much more fine,
is there some algorithm/code for get this result ?

As you said - you will get different readings even if the GPS is static, due to GPS errors, but that's not the whole story: When you move relatively slow, you're also getting those erros. There are few things you can do about it:
Filter out "bad" readings - when you get a location from the GPS, you also get the location's accuracy. Decide a threshold, say 20m and ignore any readings with worse accuracy.
Filter out close readings - If the distance between the current location and the previous location is smaller than some threshold (I'd suggest 10 - 20m) - ignore the current location and wait for the next one.
You can also use your device's sensors (like the accelerometer) to decide if your device is moving or not. You can see a code example here.

GPS tracking within vehicle in android

I am in need to develop an android app where the device will track the distance traveled while the user is in a moving vehicle. I am getting the GPS values at small interval so that I can retrieve the distance and sum them up. But the problem I am facing is, while the user is in the vehicle, the device is not getting a clear view of the sky. Hence, the GPS device cannot get values as frequently as I desire. Thus, the result produced contains huge fluctuations. I tried using the network provider, but that is even worse in this scenario.
It would be very much helpful if anyone can suggest me a solution to this problem.

Just put the receiver onto the inner side of the windshield, like all navigation systems do. This should give an acuracy of about 3-6m. (when SBAS correction is available in your location) or up to 10m if not.
If the receiver is not state of the art (combined GPS + GLONASS or BEIDOU) then you will have problem in cities, especially in urban canyons with location jumps up to 30m.
This is normal. To get correct result for a GPS application within a city you need advanced algorithms. Just summing up the distance between two consecutive locations is to primitive, this never works well. Distance calculation by GPS has be answered some times her at SO. Use the search engine, to get more info at that topic.
Of course, set the device to GPS provider only, with maximum precision.

inaccurate altitude readings from gps

Hi i have one small problem.
I wrote an app in which i log lat,long and alt from gps.
Long and lat is quite ok but altitude is at the start more than 60m above correct one ( correct is ~275 but shows ~345).
During first 1-2 minutes of logging altitude is constantly getting lower and lower till it shows correct one ( 345-> 344 -> ....-> 275->275 and so on).
Can anyone explain it to me why altitude is getting better during the time and after some time it shows good altitude during rest of the walk/ride?

" it shows good altitude during rest of the walk/ride?"
I doubt that altitude is good on the rest of your ride.
altitude via GPS is known to be not very usefull. The error is about twice that of horicontal (lat,lon) error. Thats the reason why professional navigation devices additionally use a barometer sensor instead of GPS altitude alone.
The reason why it gets better, is that the averaging algorithm had more time to average the errors out. On my ios devcie and i my app, the altitude jumps so much that it shows some hundreds meters ascending / descending even when I am moving level at a lake.
But you always can check the value of vertical accuracy. Use the altitude only when it gets below 30m vert. accuracy.

In order to get accurate coordinates, a GPS system should listen to at least 4 sattelites of the GPS constellation. Also, those sattelites broadcast messages that are 30 seconds long.
Since most users nowadays have some level of ADHD, a 30 seconds time to get the first fix (and a further 30 seconds more for every other fix after that) would make many project managers and device designers scream. They also want your cell phone to divine where you are even with only two or three sattelites in view - theoretically possible, but you get results with poor accuracy doing that. With three sattelites you can get an approximation, but with only two you're no better than if you were using a compass and an astrolabe.
So that's what happens: your device doesn't wait to get the whole message from the sattelites, and keeps approaching a more accurate result as more and more of the GPS message pours through. After a while, some time after the first few messages, it gets the correct fix and its stops trying to guess your coordinates.

Android When I stand in one place I got more locationChangeEvent

I made a simple GPS. app. for android, storing the route coordinates into file.
I'm confused, I got more onLocationChanged event when I stand in one place. The bearing and speed was zero of course in the Location when the event comes, but it Is interested, because I used 1 meter for minDistance when I registered the LocationListener. (the minTime was zero)

Are you sure that the values returned by getLatitude and getLongitude are identical to their previous values? Normal GPS is only accurate to within a meter or two, so it seems to me that random shifting of your location as perceived by your GPS sensor could be the problem.

You may be registering with more GPS satellites as your app runs and this may shift your position and reduce the error in all the times received from all the gps signals. Also, as you stand still position will become more and more accurate it is possible to get a gps signal accuracy down to cms see: http://atarist.home.xs4all.nl/geo/gps_accuracy.htm and wiki link on real time kinematic especially if you get a connection to a reference signal

Getting wrong Gps Location in android

I am using GPS to fetch location at 15 second interval in my android application. It is giving correct data but sometimes it fetches forward location and after that again fetches backward location. In result i am getting wrong track on google map.
Please help.

Your question is a little big vague...
The problem with GPS is that it is highly dependent on your whereabouts. Things such as tall buildings and sometimes even large trees can have a major impact on your GPS readings. Being inside a structure or outside is also another major factor which must be considered. Also, most of the time, the GPS will return different GPS co-ordinates even if you stay in the same place.
The average margin of error of a GPS usually varies between 5 and 50m. When you say 'forward' and 'backward' location, I am assuming that you mean that the GPS is returning a value for a position which is either ahead of you or behind you.
The fact that, as you say, the GPS most of the time works, leads me to suspect that the issue you are experiencing varies depending on your actual physical location, however, due to the vague nature of your question we can only speculate...
My suggestion is that you try this out in various places, maybe some with clear access to the sky, and another in a crowded area and you see how the GPS behaves.

I too faced same problem while testing my Google navigation app.
The wrong location from GPS receiver is due to the lack of signal reception from GPS Satellites to GPS receiver.
This is due to the position of your GPS receiver device and also depends on the quality of GPS receiver.